1000 1001 → Factorization 2× 5 | Cardinal one thousand Roman numeral M | |

Ordinal 1000th
(one thousandth) Divisors 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000 |

**1000** or **one thousand** is the natural number following 999 and preceding 1001. In most English-speaking countries, it is often written with a comma separating the thousands unit: **1,000**.

## Contents

It may also be described as the **short thousand** in historical discussion of medieval contexts where it might be confused with the Germanic concept of the "long thousand" (1200).

## In mathematics

**1,000**—a one followed by three zeros, in the general notation ;

**1 × 10**—in engineering notation, which for this number coincides with :

^{3}**1 × 10**exactly—in scientific normalized exponential notation ;

^{3}**1 E+3**exactly—in scientific E notation.

**kilo-**, with the official symbol

**k**—for instance, prefixed to "metre" or its symbol "m", kilometre or km signifies a thousand metres. As such, people occasionally represent the number in a non-standard notation by replacing the last three zeros of the general numeral with "K": for instance, 30K for 30,000.

## In time

## In popular culture

*grand*is a slang term for one thousand units of a given currency, usually dollars or pounds. Several

*grand*can be shortened to

*G*s.

*K*is sometimes used for a thousand; for example, in referring to units of salary or in reference to the Y2K computer bug.

*dimes*.

## Miscellaneous

*1000 Families: das Familienalbum des Planeten Erde*, a picture book by Uwe Ommer

## Music

*A Thousand Suns*, a 2010 album by Linkin Park

## 1001–1249

1001 – sphenic number (7 × 11 × 13), pentagonal number, pentatope number 1002 – sphenic number, Mertens function zero, abundant number 1005 – Mertens function zero; first number written in English containing all five vowels a e i o u. 1008 – divisible by the number of primes below it 1009 – smallest four-digit prime, palindromic in bases 11, 15, 19, 24 and 28: (838_{11}, 474

_{15}, 2F2

_{19}, 1I1

_{24}, 181

_{28}) 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 1017 – Brick Squad 1018 – Mertens function zero 1019 – Sophie Germain prime, safe prime 1020 – polydivisible number 1023 – the highest number one can count to on one's fingers using binary; also the magic number used in Global Positioning System signals 1024 – 2

^{10}, the number 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; can be written from base 2 to base 18 using only the digits 0 to 9. 1028 – sum of totient function for first 58 integers; can be written from base 2 to base 18 using only the digits 0 to 9. 1029 – can be written from base 2 to base 18 using only the digits 0 to 9. 1031 – Sophie Germain prime 1033 – locale ID of English (United States) in (some version of) Windows. 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 – cousin prime, lucky prime, Kynea number 1089 – 33

^{2}, nonagonal number, centered octagonal number, first natural integer which digits in its decimal expression get reversed when multiplied by 9. 1091 – cousin prime and twin prime 1092 – divisible by the number of primes below it 1093 – the smallest Wieferich prime (the only other known Wieferich prime is 3511), 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*×

*n*normal magic square and

*n*-queens problem for

*n*= 13, decagonal number, centered square number, 1105 = 33

^{2}+ 4

^{2}= 32

^{2}+ 9

^{2}= 31

^{2}+ 12

^{2}= 23

^{2}+ 24

^{2}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 1151 – first prime following a prime gap of 22. 1152 – highly totient number 1153 – Proth prime 1156 – 34

^{2}, octahedral number, centered pentagonal number, centered hendecagonal 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 a National Academic Quiz Tournaments (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

**long thousand**, ten "long hundreds" of 120 each, the traditional reckoning of large numbers in Germanic languages

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 – 35

^{2}, triangular number, square triangular number, hexagonal number, centered octagonal number 1228 – sum of totient function for first 63 integers 1229 – Sophie Germain prime, number of primes between 0 and 10000 1233 – 12

^{2}+ 33

^{2}1240 – square pyramidal number 1241 – centered cube number 1242 – decagonal number 1247 – pentagonal number 1249 – emirp, trimorphic 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, the smallest vampire number, sum of totient function for first 64 integers, this number appears twice in the Book of Revelation 1261 – star number, Mertens function zero 1264 – sum of the first 27 primes 1266 – centered pentagonal number, Mertens function zero 1270 – Mertens function zero 1275 – triangular number, sum of the first 50 natural numbers 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 – 6^{4}, 36

^{2}, sum of the cubes of the first eight positive integers, the number of rectangles on a normal 8 × 8 chessboard, also the maximum font size allowed in Adobe InDesign 1297 – Mertens function zero 1299 – Mertens function zero 1300 – Sum of the first 4 fifth powers, mertens function zero, largest possible win margin in an NAQT match 1301 – centered square number 1302 – Mertens function zero 1306 – Mertens function zero. In base 10, raising the digits of 1306 to powers of successive integers equals itself: 1306 = 1

^{1}+ 3

^{2}+ 0

^{3}+ 6

^{4}. 135, 175, 518, and 598 also have this property. 1307 – safe prime 1308 – sum of totient function for first 65 integers 1309 – the first sphenic number followed by two consecutive such number 1312 – member of the Mian–Chowla sequence; code for "ACAB" itself an acronym for "all cops are bastards" 1318 – Mertens function zero 1319 – safe prime 1325 – Markov number 1326 – triangular number, hexagonal number, Mertens function zero 1327 – first prime followed by 32 consecutive composite numbers 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 – 11

^{3}, centered heptagonal number, forms a Ruth–Aaron pair with 1330 under second definition. This is the only cube of the form

*x*

^{2}+

*x*− 1, for

*x*= 36. 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 1361 – first prime following a prime gap of 34. 1365 – pentatope number 1367 – safe prime, balanced prime 1369 – 37

^{2}, centered octagonal number 1371 – sum of the first 28 primes 1378 – triangular number 1379 – magic constant of

*n*×

*n*normal magic square and

*n*-queens problem for

*n*= 14. 1381 – centered pentagonal number 1387 – 5th Fermat pseudoprime of base 2, 22nd centered hexagonal number and the 19th decagonal number, second Super-Poulet number. 1394 – sum of totient function for first 67 integers 1395 – vampire number, member of the Mian–Chowla sequence 1404 – heptagonal number 1405 – 26

^{2}+ 27

^{2}, 7

^{2}+ 8

^{2}+ … + 16

^{2}, centered square number 1406 – pronic number, semi-meandric number 1409 – Sophie Germain prime, smallest number whose eighth 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 1433 - Typical port used for remote connections to Microsoft SQL Server databases 1435 – vampire number; the standard railway gauge in millimetres, equivalent to 4' 8½" 1439 – Sophie Germain prime, safe prime 1440 – a highly totient number and a 481-gonal number. Also, the number of minutes in one day, the blocksize of a standard 3

^{1}⁄

_{2}″ floppy disk, and the horizontal resolution of WXGA(II) computer displays 1441 – star number 1444 – 38

^{2}, smallest pandigital number in Roman numerals 1451 – Sophie Germain prime 1458 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 1510 – 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 – 39^{2}, 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 – 40

^{2}, repdigit in base 7 (4444

_{7}), street number on Pennsylvania Avenue of the White House, Meters; Common High School Track Event, perfect score on SAT (except from 2005-2015) 1601 – Sophie Germain prime, Proth prime, the novel

*1601 (Mark Twain)*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 × 73, see also Arecibo message) 1680 – highly composite number 1681 – 41

^{2}, smallest number yielded by the formula

*n*

^{2}+

*n*+ 41 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*×

*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*1702 – palindromic in 3 consecutive bases: 898

_{14}, 787

_{15}, 6A6

_{16}1705 – tribonacci number 1709 – first of a sequence of eight primes formed by adding 57 in the middle. 1709, 175709, 17575709, 1757575709, 175757575709, 17575757575709, 1757575757575709 and 175757575757575709 are all prime, but 17575757575757575709 = 232433 × 75616446785773 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, palindromic in base 11 (1331

_{11}) and 23 (363

_{23}) 1729 – taxicab number, Carmichael number, Zeisel number, centered cube number, Hardy–Ramanujan 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. Palindromic in bases 12, 32, 36. 1733 – Sophie Germain prime, palindromic in bases 3, 18, 19. 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 1760 – the number of yards in a mile 1764 – 42^{2}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 – 43

^{2}, palindromic in base 6 (= 12321

_{6}), 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*(film) or

*Novecento*, 1977 movie 1901 – Sophie Germain prime 1907 – safe prime, balanced prime 1909 – hyperperfect number 1918 – heptagonal number 1926 – pentagonal number 1929 – Mertens function zero 1931 – Sophie Germain prime 1933 – centered heptagonal number, prime number 1934 – sum of totient function for first 79 integers 1936 – 44

^{2}, 18-gonal number, 324-gonal number. 1938 – Mertens function zero 1951 – cuban prime 1953 – triangular number 1956 – nonagonal number 1966 – sum of totient function for first 80 integers 1969 - Only value less than four million for which a "mod-ification" of the standard Ackermann Function does not stabilize 1973 – Sophie Germain prime 1980 – pronic number 1984 – 11111000000 in binary, see also: 1984 (disambiguation) 1985 – centered square number 1987 – 300th prime number 1988 – sum of the first 33 primes

## References

1000 (number) Wikipedia(Text) CC BY-SA