# 1000 (number)

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 1000  1001 →Factorization  2× 5 Cardinal  one thousandRoman 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

• 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-, 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.
• By the SI writing style, a space can be used as a thousands separator, i.e., to separate the digits of a number at 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.
• 1000 is a Harshad number in base 10.
• ## In time

• A millennium is 1000 years. The year 1000 was the last year of the 1st millennium.
• A grand is a slang term for one thousand units of a given currency, usually dollars or pounds. Several grand can be shortened to Gs.
• The symbol K is sometimes used for a thousand; for example, in referring to units of salary or in reference to the Y2K computer bug.
• Especially in the United States, the gambling community often refers to denominations of \$1000 as dimes.
• The idiom "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.
• The thousandth of something is often celebrated, as with other round numbers. A good example is a millennium.
• ## Miscellaneous

• Thousand Oaks, California
• Metal Mining SIC Code
• Thousand Island dressing
• 1000 Families: das Familienalbum des Planeten Erde, a picture book by Uwe Ommer
• ## 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
• A Thousand Years, a 2011 song by Christina Perri
• A Thousand Miles, a 2002 song by Vanessa Carlton
• A Thousand Answers, a 2012 song by The Hives
• 1000hp, a 2014 song by Godsmack
• ## 1001–1249

1001 – sphenic number (7 × 11 × 13), pentagonal number, pentatope number1002 – sphenic number, Mertens function zero, abundant number1005 – 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 it1009 – smallest four-digit prime, palindromic in bases 11, 15, 19, 24 and 28: (83811, 47415, 2F219, 1I124, 18128)1010 – Mertens function zero1013 – Sophie Germain prime, centered square number, Mertens function zero1014 – Mertens function zero1015 – square pyramidal number1016 – member of the Mian–Chowla sequence1017 – Brick Squad1018 – Mertens function zero1019 – Sophie Germain prime, safe prime1020 – polydivisible number1023 – the highest number one can count to on one's fingers using binary; also the magic number used in Global Positioning System signals1024 – 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 prime1033 – locale ID of English (United States) in (some version of) Windows.1035 – triangular number, hexagonal number1049 – Sophie Germain prime, highly cototient number1051 – centered pentagonal number1056 – pronic number1060 – sum of the first 25 primes1071 – heptagonal number1072 – centered heptagonal number1079 – every positive integer is the sum of at most 1079 tenth powers.1080 – pentagonal number1081 – triangular number, member of Padovan sequence1086 – Smith number, sum of totient function for first 59 integers1087 – cousin prime, lucky prime, Kynea number1089 – 332, 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 prime1092 – divisible by the number of primes below it1093 – the smallest Wieferich prime (the only other known Wieferich prime is 3511), twin prime and star number1102 – sum of totient function for first 60 integers1103 – Sophie Germain prime, balanced prime1104 – Keith number1105 – 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 + 2421116 – divisible by the number of primes below it1122 – pronic number, divisible by the number of primes below it1123 – balanced prime1124 – Leyland number1128 – triangular number, hexagonal number, divisible by the number of primes below it1134 - divisible by the number of primes below it1138 – 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 number1151 – first prime following a prime gap of 22.1152 – highly totient number1153 – Proth prime1156 – 342, octahedral number, centered pentagonal number, centered hendecagonal number.1159 – member of the Mian–Chowla sequence1161 – sum of the first 26 primes1162 – pentagonal number, sum of totient function for first 61 integers1169 – highly cototient number1170 – highest possible score in a National Academic Quiz Tournaments (NAQT) match1176 – triangular number1177 – heptagonal number1184 – amicable number with 12101187 – safe prime, Stern prime, balanced prime1190 – pronic number1192 – sum of totient function for first 62 integers1198 – centered heptagonal number1200 – 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 sample1201 – centered square number1210 – amicable number with 11841216 – nonagonal number1217 – Proth prime1219 – Mertens function zero1220 – Mertens function zero1223 – Sophie Germain prime, balanced prime1225 – 352, triangular number, square triangular number, hexagonal number, centered octagonal number1228 – sum of totient function for first 63 integers1229 – Sophie Germain prime, number of primes between 0 and 100001233 – 122 + 3321240 – square pyramidal number1241 – centered cube number1242 – decagonal number1247 – pentagonal number1249 – emirp, trimorphic number

## 1250–1499

1255 – Mertens function zero1256 – Mertens function zero1258 – Mertens function zero1259 – highly cototient number1260 – 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 Revelation1261 – star number, Mertens function zero1264 – sum of the first 27 primes1266 – centered pentagonal number, Mertens function zero1270 – Mertens function zero1275 – triangular number, sum of the first 50 natural numbers1279 – Mertens function zero1280 – Mertens function zero1282 – Mertens function zero1283 – safe prime1285 – Mertens function zero1288 – heptagonal number1289 – Sophie Germain prime, Mertens function zero1291 – Mertens function zero1292 – Mertens function zero1296 – 64, 362, 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 InDesign1297 – Mertens function zero1299 – Mertens function zero1300 – Sum of the first 4 fifth powers, mertens function zero, largest possible win margin in an NAQT match1301 – centered square number1302 – Mertens function zero1306 – Mertens function zero. In base 10, raising the digits of 1306 to powers of successive integers equals itself: 1306 = 11 + 32 + 03 + 64. 135, 175, 518, and 598 also have this property.1307 – safe prime1308 – sum of totient function for first 65 integers1309 – the first sphenic number followed by two consecutive such number1312 – member of the Mian–Chowla sequence; code for "ACAB" itself an acronym for "all cops are bastards"1318 – Mertens function zero1319 – safe prime1325 – Markov number1326 – triangular number, hexagonal number, Mertens function zero1327 – first prime followed by 32 consecutive composite numbers1328 – sum of totient function for first 66 integers1329 – Mertens function zero1330 – tetrahedral number, forms a Ruth–Aaron pair with 1331 under second definition1331 – 113, centered heptagonal number, forms a Ruth–Aaron pair with 1330 under second definition. This is the only cube of the form x2 + x − 1, for x = 36.1332 – pronic number1335 – pentagonal number, Mertens function zero1336 – Mertens function zero1337 – Used in the novel form of spelling called leet1338 – Mertens function zero1342 – Mertens function zero1350 – nonagonal number1361 – first prime following a prime gap of 34.1365 – pentatope number1367 – safe prime, balanced prime1369 – 372, centered octagonal number1371 – sum of the first 28 primes1378 – triangular number1379 – magic constant of n × n normal magic square and n-queens problem for n = 14.1381 – centered pentagonal number1387 – 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 integers1395 – vampire number, member of the Mian–Chowla sequence1404 – heptagonal number1405 – 262 + 272, 72 + 82 + … + 162, centered square number1406 – pronic number, semi-meandric number1409 – Sophie Germain prime, smallest number whose eighth power is the sum of 8 eighth powers, Proth prime1419 – Zeisel number1425 – self-descriptive number in base 51426 – sum of totient function for first 68 integers1426 – pentagonal number1430 – Catalan number1431 – triangular number, hexagonal number1432 – member of Padovan sequence1433 - Typical port used for remote connections to Microsoft SQL Server databases1435 – vampire number; the standard railway gauge in millimetres, equivalent to 4' 8½"1439 – Sophie Germain prime, safe prime1440 – a highly totient number and a 481-gonal number. Also, the number of minutes in one day, the blocksize of a standard 3 12floppy disk, and the horizontal resolution of WXGA(II) computer displays1441 – star number1444 – 382, smallest pandigital number in Roman numerals1451 – Sophie Germain prime14581469 – octahedral number, highly cototient number1470 – pentagonal pyramidal number, sum of totient function for first 69 integers1471 – centered heptagonal number1480 – sum of the first 29 primes1481 – Sophie Germain prime1482 – pronic number1485 – triangular number1487 – safe prime1490 – tetranacci number1491 – nonagonal number, Mertens function zero1492 – Mertens function zero1493 – Stern prime1494 – sum of totient function for first 70 integers1496 – square pyramidal number1499 – Sophie Germain prime

## 1500–1749

1501 – centered pentagonal number1510 –1511 – Sophie Germain prime, balanced prime1513 – centered square number1518 – Mertens function zero1519 – Mertens function zero1520 – pentagonal number, Mertens function zero, forms a Ruth–Aaron pair with 1521 under second definition1521 – 392, Mertens function zero, centered octagonal number, forms a Ruth–Aaron pair with 1520 under second definition1523 – Mertens function zero, safe prime, member of the Mian–Chowla sequence1524 – Mertens function zero1525 – heptagonal number, Mertens function zero1527 – Mertens function zero1528 – Mertens function zero1530 – vampire number1531 – Mertens function zero1532 – Mertens function zero1535 – Thabit number1537 – Keith number, Mertens function zero1540 – triangular number, hexagonal number, decagonal number, tetrahedral number1543 – Mertens function zero1544 – Mertens function zero1546 – Mertens function zero1556 – sum of the squares of the first nine primes1559 – Sophie Germain prime1560 – pronic number1564 – sum of totient function for first 71 integers1572 – member of the Mian–Chowla sequence1575 – odd abundant number1583 – Sophie Germain prime1588 – sum of totient function for first 72 integers1593 – sum of the first 30 primes1596 – triangular number1597 – Fibonacci number, Markov number, Prime number, emirp1600 – 402, repdigit in base 7 (44447), 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 number1618 – centered heptagonal number1619 – safe prime1625 – centered square number1626 – centered pentagonal number1633 – star number1638 – harmonic divisor number1639 – nonagonal number1640 – pronic number1649 – highly cototient number, Leyland number1651 – heptagonal number1653 – triangular number, hexagonal number1657 – cuban prime1660 – sum of totient function for first 73 integers1666 – 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 number1681 – 412, smallest number yielded by the formula n2 + n + 41 that is not a prime; centered octagonal number1682 – 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 integers1701 – decagonal number, hull number of the U.S.S. Enterprise on Star Trek1702 – palindromic in 3 consecutive bases: 89814, 78715, 6A6161705 – tribonacci number1709 – 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 × 756164467857731711 – triangular number1717 – pentagonal number1720 – sum of the first 31 primes1722 – Giuga number, pronic number1728 – 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 (133111) and 23 (36323)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 integers1741 – centered square number1747 – balanced prime

## 1750–1999

1753 – balanced prime1756 – centered pentagonal number1760 – the number of yards in a mile1764 – 4221770 – triangular number, hexagonal number, Town of Seventeen Seventy in Australia1771 – tetrahedral number1772 – centered heptagonal number, sum of totient function for first 76 integers1782 – heptagonal number1785 – square pyramidal number1791 – largest natural number that cannot be expressed as a sum of at most four hexagonal numbers.1794 – nonagonal number1800 – 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 tally1801 – cuban prime1806 – pronic number, product of first four terms of Sylvester's sequence, primary pseudoperfect number1807 – fifth term of Sylvester's sequence1811 – Sophie Germain prime1820 – pentagonal number, pentatope number1821 – member of the Mian–Chowla sequence1823 – safe prime1827 – vampire number1828 – meandric number, open meandric number1830 – triangular number1832 – sum of totient function for first 77 integers1834 – octahedral number, sum of the cubes of the first five primes1836 – factor by which a proton is more massive than an electron1837 – star number1841 – Mertens function zero1843 – Mertens function zero1844 – Mertens function zero1845 – Mertens function zero1849 – 432, palindromic in base 6 (= 123216), centered octagonal number1851 – sum of the first 32 primes1853 – Mertens function zero1854 – Mertens function zero1856 – sum of totient function for first 78 integers1857 – Mertens function zero1861 – centered square number, Mertens function zero1862 – Mertens function zero, forms a Ruth–Aaron pair with 1863 under second definition1863 – Mertens function zero, forms a Ruth–Aaron pair with 1862 under second definition1864 – Mertens function zero1866 – Mertens function zero1870 – decagonal number1885 – Zeisel number1889 – Sophie Germain prime, highly cototient number1891 – triangular number, hexagonal number, centered pentagonal number1892 – pronic number1896 – member of the Mian–Chowla sequence1897 – member of Padovan sequence1900 – 1900 (film) or Novecento, 1977 movie1901 – Sophie Germain prime1907 – safe prime, balanced prime1909 – hyperperfect number1918 – heptagonal number1926 – pentagonal number1929 – Mertens function zero1931 – Sophie Germain prime1933 – centered heptagonal number, prime number1934 – sum of totient function for first 79 integers1936 – 442, 18-gonal number, 324-gonal number.1938 – Mertens function zero1951 – cuban prime1953 – triangular number1956 – nonagonal number1966 – sum of totient function for first 80 integers1969 - Only value less than four million for which a "mod-ification" of the standard Ackermann Function does not stabilize 1973 – Sophie Germain prime1980 – pronic number1984 – 11111000000 in binary, see also: 1984 (disambiguation)1985 – centered square number1987 – 300th prime number1988 – sum of the first 33 primes

## References

1000 (number) Wikipedia