1000 (number)

List of numbers — Integers ← 1k 2k 3k 4k 5k 6k 7k 8k 9k →
Cardinal	1000 one thousand
Ordinal	1000th one thousandth
Factorization	$2^3 \cdot 5^3$
Divisors	1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000
Roman numeral	M
Roman numeral (Unicode)	M, m, ↀ
prefixes	chilia (from Greek) kilo (from Latin)
Binary	1111101000
Octal	1750
Duodecimal	6B4
Hexadecimal	3E8
Tamil	௲

1000 or 1,000 (one thousand) is the natural number following 999 and preceding 1001.

In mathematics

• The decimal representation for one thousand is
  • 1,000—a one followed by three zeros, in the general notation ;
  • 1 × 10³—in engineering notation, which for this number coincides with :
  • 1 × 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 zeros of the general numeral with "k", for instance, 30k for 30,000.
• By the SI writing style, a comma or a space can be used to as a Thousands separator, i.e, to separate the digits of a number every power of 1000.
• The sum of Euler's totient function over the first 57 integers is 1000.
• Prime Curios! mentions that 1000 is the smallest number that generates three primes in the fastest way possible by concatenation of decremented numbers (1000999, 1000999998997, and 1000999998997996995994993 are prime). The criterion excludes counting the number itself.

In time

• A millennium is 1000 years. The year 1000 was the last year of the 1st millennium.

In popular culture

• In art, 1000 paintings has been a popular internet art project by Swiss artist Sala.
• In music, I Feel It/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 United States, the gambling community often refers to denominations of $1000 as dimes.
• A picture is worth a thousand words.
• According to an ancient Japanese legend, anyone who folds a thousand origami cranes will be granted a wish by a crane (From Wikipedia article Thousand origami cranes)

Miscellaneous

• "One thousand" is the lowest positive integer in which the letter A appears in the American English spelling. (In British English, 101 is spelled as "one hundred and one".)
• Thousand Oaks, California
• Metal Mining SIC Code

Music

• Thousand Foot Krutch, an alternative rock band
• I Feel It/Thousand, a 1993 techno single by Moby
• A Thousand Suns, a 2010 album by Linkin Park

Selected numbers in the thousands (1001–1999)

1001–1249

1001 – sphenic number (7 × 11 × 13), pentagonal number, pentatope number

1002 – sphenic number, Mertens function zero, abundant number

1003 – semiprime (17 × 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 – the highest number one can count to on one's fingers using binary; also the magic number used in Global Positioning System signals

1024 – 2¹⁰, 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.(VS.80).aspx.

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 – 33², nonagonal number, centered octagonal number

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^[1]), 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 = 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 – 34², 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 a National Academic Quiz Tournaments (NAQT) match

1176 – triangular number

1177 – heptagonal number

1184 – amicable number with 1210^[2]

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^[3]

1201 – centered square number

1210 – amicable number with 1184^[4]

1216 – nonagonal number

1217 – Proth prime

1219 – Mertens function zero

1220 – Mertens function zero

1223 – Sophie Germain prime, balanced prime

1225 – 35², triangular number, square triangular number, hexagonal number, centered octagonal number

1228 – sum of totient function for first 63 integers

1229 – Sophie Germain prime

1233 – 12² + 33²

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, the smallest 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

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 – 6⁴, 36², sum of the cubes of the first eight positive integers, the number of rectangles on a normal 8 × 8 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

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

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 – 11³, 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 – 37², 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 – 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 – 26² + 27², $7^2 + 8^2 + \cdots + 16^2$, 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

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 3.5" floppy disk, and the horizontal resolution of WXGA(II) computer displays

1441 – star number

1444 – 38², 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 – 39², 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 – 40², street number on Pennsylvania Avenue of the White House, Meters; Common High School Track Event, perfect score on SAT

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 – 41², smallest number yielded by the formula n² + 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

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

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.

1733 – Sophie Germain prime

1736 – sum of totient function for first 75 integers

1741 – centered square number

1747 – balanced prime

1750–1988

1753 – balanced prime

1756 – centered pentagonal number

1764 – 42²

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 – 43², 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

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 – 44²

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, see also: 1984 (disambiguation)

1985 – centered square number

1988 – sum of the first 33 primes

See also

Mathematics portal

References

1. ^ Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 163
2. ^ Higgins, Peter (2008). Number Story: From Counting to Cryptography. New York: Copernicus. p. 61. ISBN 978-1-84800-000-1. 
3. ^ Meehan, Eileen R., Why TV is not our fault: television programming, viewers, and who's really in control Lanham, MD: Rowman & Littlefield, 2005
4. ^ Higgins, ibid.