 1000 (number)

Cardinal 1000
one thousandOrdinal 1000th
one thousandthFactorization 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) 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.
Contents
In mathematics
 The decimal representation for one thousand is
 1,000—a one followed by three zeros, in the general notation ;
 1 × 10^{3}—in engineering notation, which for this number coincides with :
 1 × 10^{3} 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 nonstandard 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 – 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.(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 – 33^{2}, 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 nqueens 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
 1134divisible 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 – 34^{2}, 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 – 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
 1233 – 12^{2} + 33^{2}
 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 – 6^{4}, 36^{2}, 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 – 11^{3}, 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 – 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 nqueens problem for n = 14.
 1381 – centered pentagonal number
 1387 – superPoulet 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 – 26^{2} + 27^{2}, , centered square number
 1406 – pronic number, semimeandric number
 1409 – Sophie Germain prime, smallest number whose eighth power is the sum of 8 eighth powers, Proth prime
 1419 – Zeisel number
 1425 – selfdescriptive 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 481gonal 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 – 38^{2}, 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 – 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}, 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 – 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 nqueens 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 – 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}, 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 – 44^{2}
 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
References
 ^ Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 163
 ^ Higgins, Peter (2008). Number Story: From Counting to Cryptography. New York: Copernicus. p. 61. ISBN 9781848000001.
 ^ Meehan, Eileen R., Why TV is not our fault: television programming, viewers, and who's really in control Lanham, MD: Rowman & Littlefield, 2005
 ^ Higgins, ibid.
Categories: Integers
 The decimal representation for one thousand is
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