# 1000 (number)

 Cardinal 1000 one thousand Ordinal 1000th one thousandth Factorization Divisors 2, 4, 5, 10,20, 25, 50 Roman numeral M Roman numeral (Unicode) M, m prefixes chilia (from Greek) milli (from Latin) Binary 1111101000 Octal 1750 Duodecimal 6B4 Hexadecimal 3E8

1000 (one thousand) is the natural number following 999 and preceding 1001. The letter A does not appear in the English spelling of any number lower than "one thousand".

## In mathematics

• The decimal representation for one thousand is
• 1,000 — a one followed by three zeroes, in the general notation ;
• 1 Ã— 103 — in engineering notation, which for this number coincides with :
• 1 Ã— 103 exactly — in scientific normalized exponential notation ;
• 1 E+3 exactly — in scientific E notation.
• The SI prefix for a thousand is kilo-, officially abbreviated as k — for instance prefixed to metre or its abbreviation m, kilometre or km signifies a thousand metres ;
• as such technically oriented people occasionally represent the number in a non-standard notation by replacing the last three zeroes of the general numeral with "k", for instance 30 k for 30,000
• The sum of Euler's totient function over the first 57 integers is 1000.

## In popular culture

• In art, 1000 paintings has been a popular internet art project by Swiss artist Sala.
• In music, Thousand is a 1993 techno single by Moby.
• A grand is a slang term in English for one thousand units of a given currency. Several grand can be shortened to G's.
• Especially in the U.S.A., the gambling community often refers to denominations of \$1000 as dimes.

## Selected numbers in the thousands (1001-1999)

### 1001-1249

1001 - sphenic number (7 x 11 x 13), pentagonal number, pentatope number
1002 - sphenic number, Mertens function zero, abundant number
1003 - semiprime (17 Ã— 59)
1005 - Mertens function zero
1008 - divisible by the number of primes below it
1009 - first prime above 1000
1010 - Mertens function zero
1013 - Sophie Germain prime, centered square number, Mertens function zero
1014 - Mertens function zero
1015 - square pyramidal number
1016 - member of the Mian-Chowla sequence
1018 - Mertens function zero
1019 - Sophie Germain prime, safe prime
1020 - polydivisible number
1023 - is the highest number one can count to on one's fingers using binary
1024 - , the amount of bytes in a kilobyte (in 1999, the IEC coined kibibyte to use for 1024 with kilobyte being 1000, but this convention has not been widely adopted)
1027 - sum of the squares of the first eight primes
1028 - sum of totient function for first 58 integers
1031 - Sophie Germain prime
1035 - triangular number, hexagonal number
1049 - Sophie Germain prime, highly cototient number
1051 - centered pentagonal number
1056 - pronic number
1060 - sum of the first 25 primes
1071 - heptagonal number
1072 - centered heptagonal number
1079 - every positive integer is the sum of at most 1079 tenth powers.
1080 - pentagonal number
1081 - triangular number, member of Padovan sequence
1086 - Smith number, sum of totient function for first 59 integers
1087 - Chen prime, cousin prime, lucky prime, Kynea number
1089 - , nonagonal number, centered octagonal number
1091 - cousin prime and twin prime
1092- divisible by the number of primes below it
1093 - twin prime and star number
1102 - sum of totient function for first 60 integers
1103 - Sophie Germain prime, balanced prime
1104 - Keith number
1105 - Carmichael number, magic constant of n Ã— n normal magic square and n-Queens Problem for n = 13, decagonal number, centered square number, 1105 = 332 + 42 = 322 + 92 = 312 + 122 = 232 + 242
1116 - divisible by the number of primes below it
1122 - pronic number, divisible by the number of primes below it
1123 - balanced prime
1124 - Leyland number
1128 - triangular number, hexagonal number, divisible by the number of primes below it
1134- divisible by the number of primes below it
1138 - recurring number in the works of George Lucas and his companies, beginning with his first feature film - THX 1138; particularly, a special code for Easter eggs on Star Wars DVDs.
1140 - tetrahedral number
1152 - highly totient number
1153 - Proth prime
1156 - , octahedral number, centered pentagonal number
1159 - member of the Mian-Chowla sequence
1161 - sum of the first 26 primes
1162 - pentagonal number, sum of totient function for first 61 integers
1169 - highly cototient number
1170 - highest possible score in an NAQT match
1176 - triangular number
1177 - heptagonal number
1184 - amicable number with 1210
1187 - safe prime, Stern prime, balanced prime
1190 - pronic number
1192 - sum of totient function for first 62 integers
1198 - centered heptagonal number
1200 - the number of households the Nielsen ratings sample
1201 - centered square number
1210 - amicable number with 1184
1216 - nonagonal number
1217 - Proth prime
1219 - Mertens function zero
1220 - Mertens function zero
1223 - Sophie Germain prime, balanced prime
1225 - , triangular number, triangular square number, hexagonal number, centered octagonal number
1228 - sum of totient function for first 63 integers
1229 - Sophie Germain prime
1233 -
1240 - square pyramidal number
1241 - centered cube number
1242 - decagonal number
1247 - pentagonal number

### 1250-1499

1255 - Mertens function zero
1256 - Mertens function zero
1258 - Mertens function zero
1259 - highly cototient number
1260 - highly composite number, pronic number, vampire number, sum of totient function for first 64 integers
1261 - star number, Mertens function zero
1264 - sum of the first 27 primes
1266 - centered pentagonal number, Mertens function zero
1270 - Mertens function zero
1279 - Mertens function zero
1280 - Mertens function zero
1282 - Mertens function zero
1283 - safe prime
1285 - Mertens function zero
1288 - heptagonal number
1289 - Sophie Germain prime, Mertens function zero
1291 - Mertens function zero
1292 - Mertens function zero
1296 - , , sum of the cubes of the first eight positive integers, the number of rectangles on a normal 8x8 chessboard
1297 - Mertens function zero
1299 - Mertens function zero
1300 - Mertens function zero, largest possible win margin in an NAQT match
1301 - centered square number
1302 - Mertens function zero
1306 - Mertens function zero
1307 - safe prime
1312 - member of the Mian-Chowla sequence
1308 - sum of totient function for first 65 integers
1318 - Mertens function zero
1319 - safe prime
1325 - Markov number
1326 - triangular number, hexagonal number, Mertens function zero
1328 - sum of totient function for first 66 integers
1329 - Mertens function zero
1330 - tetrahedral number, forms a Ruth-Aaron pair with 1331 under second definition
1331 - , centered heptagonal number, forms a Ruth-Aaron pair with 1330 under second definition
1332 - pronic number
1335 - pentagonal number, Mertens function zero
1336 - Mertens function zero
1337 - Used in the novel form of spelling called leet
1338 - Mertens function zero
1342 - Mertens function zero
1350 - nonagonal number
1365 - pentatope number
1367 - safe prime, balanced prime
1369 - , centered octagonal number
1371 - sum of the first 28 primes
1378 - triangular number
1379 - magic constant of n Ã— n normal magic square and n-Queens Problem for n = 14.
1381 - centered pentagonal number
1387 - super-Poulet number, decagonal number
1394 - sum of totient function for first 67 integers
1395 - vampire number, member of the Mian-Chowla sequence
1404 - heptagonal number
1405 - , , centered square number
1406 - pronic number, semi-meandric number
1409 - Sophie Germain prime, smallest number whose eight power is the sum of 8 eighth powers, Proth prime
1419 - Zeisel number
1425 - self-descriptive number in base 5
1426 - sum of totient function for first 68 integers
1426 - pentagonal number
1430 - Catalan number
1431 - triangular number, hexagonal number
1432 - member of Padovan sequence
1435 - vampire number; the standard railway gauge in millimetres, equivalent to 4' 8Â½"
1439 - Sophie Germain prime, safe prime
1440 - a highly totient number and a 481-gonal number. Also, the number of minutes in one day, and the blocksize of a standard 3,5" floppy disk
1441 - star number
1444 - , smallest pandigital number in Roman numerals
1451 - Sophie Germain prime
1469 - octahedral number, highly cototient number
1470 - pentagonal pyramidal number, sum of totient function for first 69 integers
1471 - centered heptagonal number
1480 - sum of the first 29 primes
1481 - Sophie Germain prime
1482 - pronic number
1485 - triangular number
1487 - safe prime
1490 - tetranacci number
1491 - nonagonal number, Mertens function zero
1492 - Mertens function zero
1493 - Stern prime
1494 - sum of totient function for first 70 integers
1496 - square pyramidal number
1499 - Sophie Germain prime

### 1500-1749

1501 - centered pentagonal number
1511 - Sophie Germain prime, balanced prime
1513 - centered square number
1518 - Mertens function zero
1519 - Mertens function zero
1520 - pentagonal number, Mertens function zero, forms a Ruth-Aaron pair with 1521 under second definition
1521 - , Mertens function zero, centered octagonal number, forms a Ruth-Aaron pair with 1520 under second definition
1523 - Mertens function zero, safe prime, member of the Mian-Chowla sequence
1524 - Mertens function zero
1525 - heptagonal number, Mertens function zero
1527 - Mertens function zero
1528 - Mertens function zero
1530 - vampire number
1531 - Mertens function zero
1532 - Mertens function zero
1535 - Thabit number
1537 - Keith number, Mertens function zero
1540 - triangular number, hexagonal number, decagonal number, tetrahedral number
1543 - Mertens function zero
1544 - Mertens function zero
1546 - Mertens function zero
1556 - sum of the squares of the first nine primes
1559 - Sophie Germain prime
1560 - pronic number
1564 - sum of totient function for first 71 integers
1572 - member of the Mian-Chowla sequence
1575 - odd abundant number
1583 - Sophie Germain prime
1588 - sum of totient function for first 72 integers
1593 - sum of the first 30 primes
1596 - triangular number
1597 - Fibonacci number, Markov number,Prime Number, emirp
1600 - , street number on Pennsylvania Avenue of the White House, perfect score on SAT
1601 - Sophie Germain prime, Proth prime, the novel 1601 (Mark Twain)
1616 - the year Shakespeare died
1617 - pentagonal number
1618 - centered heptagonal number
1619 - safe prime
1625 - centered square number
1626 - centered pentagonal number
1633 - star number
1638 - harmonic divisor number
1639 - nonagonal number
1640 - pronic number
1649 - highly cototient number, Leyland number
1651 - heptagonal number
1653 - triangular number, hexagonal number
1657 - cuban prime
1660 - sum of totient function for first 73 integers
1666 - largest efficient pandigital number in Roman numerals (each symbol occurs exactly once)
1679 - highly cototient number, semiprime (23 Ã— 73) (see also Arecibo message)
1680 - highly composite number
1681 - , smallest number yielded by the formula that is not a prime; centered octagonal number
1682 - member of a Ruth-Aaron pair (first definition)
1683 - member of a Ruth-Aaron pair (first definition)
1695 - magic constant of n Ã— n normal magic square and n-Queens Problem for n = 15.
1696 - sum of totient function for first 74 integers
1701 - decagonal number, hull number of the U.S.S. Enterprise on Star Trek
1705 - tribonacci number
1711 - triangular number
1717 - pentagonal number
1720 - sum of the first 31 primes
1722 - Giuga number, pronic number
1728 - the quantity expressed as 1000 in duodecimal, that is, the cube of twelve (called a great gross), and so, the number of cubic inches in a cubic foot
1729 - taxicab number, Carmichael number, Zeisel number, centered cube number. In the decimal expansion of e the first time all 10 digits appear in sequence starts at the 1729th decimal place. In 1979 the rock musical Hair closed on Broadway in New York City after 1729 performances.
1733 - Sophie Germain prime
1736 - sum of totient function for first 75 integers
1741 - centered square number
1747 - balanced prime

### 1750-1999

1753 - balanced prime
1756 - centered pentagonal number
1764 -
1770 - triangular number, hexagonal number, Town of Seventeen Seventy in Australia
1771 - tetrahedral number
1772 - centered heptagonal number, sum of totient function for first 76 integers
1782 - heptagonal number
1785 - square pyramidal number
1791 - largest natural number that cannot be expressed as a sum of at most four hexagonal numbers.
1794 - nonagonal number
1800 - pentagonal pyramidal number, also, in da Ponte's Don Giovanni, the number of women Don Giovanni had slept with so far when confronted by Donna Elvira, according to Leporello's tally
1801 - cuban prime
1806 - pronic number, product of first four terms of Sylvester's sequence, primary pseudoperfect number
1807 - fifth term of Sylvester's sequence
1811 - Sophie Germain prime
1820 - pentagonal number, pentatope number
1821 - member of the Mian-Chowla sequence
1823 - safe prime
1827 - vampire number
1828 - meandric number, open meandric number
1830 - triangular number
1832 - sum of totient function for first 77 integers
1834 - octahedral number, sum of the cubes of the first five primes
1836 - factor by which a proton is more massive than an electron
1837 - star number
1841 - Mertens function zero
1843 - Mertens function zero
1844 - Mertens function zero
1845 - Mertens function zero
1849 - , centered octagonal number
1851 - sum of the first 32 primes
1853 - Mertens function zero
1854 - Mertens function zero
1856 - sum of totient function for first 78 integers
1857 - Mertens function zero
1861 - centered square number, Mertens function zero
1862 - Mertens function zero, forms a Ruth-Aaron pair with 1863 under second definition
1863 - Mertens function zero, forms a Ruth-Aaron pair with 1862 under second definition
1864 - Mertens function zero
1866 - Mertens function zero
1870 - decagonal number
1885 - Zeisel number
1889 - Sophie Germain prime, highly cototient number
1891 - triangular number, hexagonal number, centered pentagonal number
1892 - pronic number
1896 - member of the Mian-Chowla sequence
1897 - member of Padovan sequence
1900 - 1900 or Novecento is a 1977 movie
1901 - Sophie Germain prime
1907 - safe prime, balanced prime
1918 - heptagonal number
1926 - pentagonal number
1929 - Mertens function zero
1931 - Sophie Germain prime
1933 - centered heptagonal number
1934 - sum of totient function for first 79 integers
1936 -
1938 - Mertens function zero
1951 - cuban prime
1953 - triangular number
1956 - nonagonal number
1966 - sum of totient function for first 80 integers
1969 - the movie 1969 (film)
1973 - Sophie Germain prime
1980 - pronic number
1984 - 11111000000 in binary also see 1984 (disambiguation)
1985 - centered square number
1988 - sum of the first 33 primes

## References

• Meehan, Eileen R., Why TV is not our fault : television programming, viewers, and who's really in control Lanham, MD: Rowman & Littlefield, 2005

## Rational numbers

### Notable rational numbers

#### Natural numbers

0 1 2 3 4 5 6 7 8 9
10 11 12 13 14 15 16 17 18 19
20 21 22 23 24 25 26 27 28 29
30 31 32 33 34 35 36 37 38 39
The integers (from the Latin integer, which means with untouched integrity, whole, entire) are the set of numbers including the whole numbers (0, 1, 2, 3, …) and their negatives (0, −1, −2, −3, …).
900 (nine hundred) is the natural number following eight hundred ninety-nine and preceding nine hundred one. It is the square of 30 and the sum of Euler's totient function for the first 54 integers. In base 10 it is a Harshad number.
2000 (two thousand) is the natural number following 1999 and preceding 2001.

Two thousand is the highest number expressible using only two unmodified characters in roman numerals (MM).
3000 (three thousand) is the natural number following 2999 and preceding 3001. It is the smallest number requiring thirteen letters in English (when "and" is required from 101 forward).

## In other fields

Mr.
4000 (four thousand) is the natural number following 3999 and preceding 4001. It is a decagonal number.

## Selected numbers in the range 4001-4999

• 4005 - triangular number
• 4007 - safe prime
• 4010 - magic constant of n

5000 (five thousand) is the natural number following 4999 and preceding 5001. Five thousand is the largest isogrammic number in the English language.

## Selected numbers in the range 5001-5999

• 5003 - Sophie Germain prime
• 5020

6000 (six thousand) is the natural number following 5999 and preceding 6001.

## Selected numbers in the range 6001-6999

• 6025 - Rhythm guitarist of the Dead Kennedys from June 1978 to March 1979. Full name is Carlos Cadona.

7000 (seven thousand) is the natural number following 6999 and preceding 7001.

## Selected numbers in the range 7001 - 7999

• 7021 - triangular number
• 7043 - Sophie Germain prime
• 7056 -
• 7057

8000 (eight thousand) is the natural number following 7999 and preceding 8001.

8000 is the cube of 20, as well as the sum of four consecutive integers cubed, 113 + 123 + 133 + 143.
9000 (nine thousand) is the natural number following 8999 and preceding 9001.

## In other fields

• ISO 9000 is the ISO's standard for Quality Management System in production environments.

10000 (ten thousand) is the natural number following 9999 and preceding 10001.

## Name

Many languages have a specific word for this number: In English it is a myriad, in Ancient Greek μύριοι
cardinal numbers, or cardinals for short, are a generalized kind of number used to denote the size of a set, known as its cardinality. For finite sets the cardinality is given by a natural number, being simply the number of elements in the set.
ordinal, ordinal number, and transfinite ordinal number refer to a type of number introduced by Georg Cantor in 1897, to accommodate infinite sequences and to classify sets with certain kinds of order structures on them.
factorization (British English: also factorisation) or factoring is the decomposition of an object (for example, a number, a polynomial, or a matrix) into a product of other objects, or factors, which when multiplied together give the original.
divisor of an integer n, also called a factor of n, is an integer which evenly divides n without leaving a remainder.

## Explanation

For example, 7 is a divisor of 42 because 42/7 = 6.
Roman numerals is a numeral system originating in ancient Rome, adapted from Etruscan numerals. The system used in classical antiquity was slightly modified in the Middle Ages to produce the system we use today. It is based on certain letters which are given values as numerals.
A numerical prefix is a prefix that denotes a number, which is usually a multiplier for the thing being prefixed. Numerical prefixes are usually derived from the words for numbers in various languages, most commonly Greek and Latin, although this is not necessarily the case.
Greek}}}
Writing system: Greek alphabet
Official status
Official language of:  Greece
Cyprus
European Union
recognised as minority language in parts of:
European Union
Italy
Turkey
Regulated by:
Latin}}}
Official status
Official language of: Vatican City
Used for official purposes, but not spoken in everyday speech
Regulated by: Opus Fundatum Latinitas
Roman Catholic Church
Language codes
ISO 639-1: la
ISO 639-2: lat
binary numeral system, or base-2 number system, is a numeral system that represents numeric values using two symbols, usually 0 and 1. More specifically, the usual base-2 system is a positional notation with a radix of 2.
octal numeral system, or oct for short, is the base-8 number system, and uses the digits 0 to 7.

Octal numerals can be made from binary numerals by grouping consecutive digits into groups of three (starting from the right).
duodecimal (also known as base-12 or dozenal) system is a numeral system using twelve as its base. The number ten may be written as 'A', and the number eleven as 'B'. The number twelve is written as '10'.
hexadecimal, base-16, or simply hex, is a numeral system with a radix, or base, of 16, usually written using the symbols 0–9 and A–F, or a–f.
In mathematics, a natural number can mean either an element of the set (i.e the positive integers or the counting numbers) or an element of the set (i.e. the non-negative integers).
Nine hundred ninety-nine is the natural number following nine hundred ninety-eight and preceding one thousand. 999 is a Harshad number and a Kaprekar number.

Nine hundred ninety-nine is also:
• The largest 3 digit whole number in base 10.

1001 is the natural number following 1000 and followed by 1002.

## In mathematics

One thousand and one is a sphenic number, a pentagonal number, a pentatope number and the first four-digit palindromic number.