1000 (number) Totally Explained

Everything about 1969 Number totally explained

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

1000 (one thousand) is the natural number following 999 and preceding 1001. "One thousand" is the lowest positive integer in which the letter A appears in the English spelling.

In mathematics

The decimal representation for one thousand is
- 1,000 — a one following by three zeroes, 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 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 time

A millennium has 1000 years. The year 1000 is the last year of the first millennium AD.

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.

Recently, Jake Isaiah Scott, Esquire of Thornhill, Ontario has acquired Trevor Ablett's one thousandth post on the social networking program Facebook.

Especially in the U.S.A., the gambling community often refers to denominations of $1000 as .

Selected numbers in the thousands (1001-1999)

1001-1249

ť 1001 - sphenic number (7 x 11 x 13), pentagonal number, pentatope number, and in some cases can be greater than 1000.

   1002 - sphenic number, Mertens function zero, abundant number ť 1003 - semiprime (17 × 59)

   1005 - Mertens function zero ť 1008 - divisible by the number of primes below it

   1009 - first prime above 1000 ť 1010 - Mertens function zero

   1013 - Sophie Germain prime, centered square number, Mertens function zero ť 1014 - Mertens function zero

   1015 - square pyramidal number ť 1016 - member of the Mian-Chowla sequence

   1018 - Mertens function zero ť 1019 - Sophie Germain prime, safe prime

   1020 - polydivisible number ť 1023 - is 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^

, the amount of bytes in a kilobyte (in 1999, the IEC coined kibibyte to use for 1024 with kilobyte being 1000, but this convention hasn't been widely adopted) ť 1027 - sum of the squares of the first eight primes

1028 - sum of totient function for first 58 integers ť 1031 - Sophie Germain prime

1033 - locale ID of English (United States) in (some version of) Windows.(External Link

). ť 1035 - triangular number, hexagonal number

   1049 - Sophie Germain prime, highly cototient number ť 1051 - centered pentagonal number

   1056 - pronic number ť 1060 - sum of the first 25 primes

   1071 - heptagonal number ť 1072 - centered heptagonal number

   1079 - every positive integer is the sum of at most 1079 tenth powers. ť 1080 - pentagonal number

   1081 - triangular number, member of Padovan sequence ť 1086 - Smith number, sum of totient function for first 59 integers

   1087 - Chen prime, cousin prime, lucky prime, Kynea number ť 1089 -

33^2

, nonagonal number, centered octagonal number

   1091 - cousin prime and twin prime ť 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 ť 1102 - sum of totient function for first 60 integers

   1103 - Sophie Germain prime, balanced prime ť 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 ť 1116 - divisible by the number of primes below it

   1122 - pronic number, divisible by the number of primes below it ť 1123 - balanced prime

   1124 - Leyland number ť 1128 - triangular number, hexagonal number, divisible by the number of primes below it

   1134- divisible by the number of primes below it ť 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 ť 1152 - highly totient number

   1153 - Proth prime ť 1156 -

34^2

, octahedral number, centered pentagonal number

   1159 - member of the Mian-Chowla sequence ť 1161 - sum of the first 26 primes

   1162 - pentagonal number, sum of totient function for first 61 integers ť 1169 - highly cototient number

   1170 - highest possible score in an NAQT match ť 1176 - triangular number

   1177 - heptagonal number ť 1184 - amicable number with 1210

   1187 - safe prime, Stern prime, balanced prime ť 1190 - pronic number

   1192 - sum of totient function for first 62 integers ť 1198 - centered heptagonal number

   1200 - the number of households the Nielsen ratings sample ť 1201 - centered square number

   1210 - amicable number with 1184 ť 1216 - nonagonal number

   1217 - Proth prime ť 1219 - Mertens function zero

   1220 - Mertens function zero ť 1223 - Sophie Germain prime, balanced prime

   1225 -

35^2

, triangular number, triangular square number, hexagonal number, centered octagonal number ť 1228 - sum of totient function for first 63 integers

1229 - Sophie Germain prime ť 1233 -

12^2 + 33^2

1240 - square pyramidal number ť 1241 - centered cube number

1242 - decagonal number ť 1247 - pentagonal number

1250-1499

ť 1255 - Mertens function zero

   1256 - Mertens function zero ť 1258 - Mertens function zero

   1259 - highly cototient number ť 1260 - highly composite number, pronic number, vampire number, sum of totient function for first 64 integers

   1261 - star number, Mertens function zero ť 1264 - sum of the first 27 primes

   1266 - centered pentagonal number, Mertens function zero ť 1270 - Mertens function zero

   1279 - Mertens function zero ť 1280 - Mertens function zero

   1282 - Mertens function zero ť 1283 - safe prime

   1285 - Mertens function zero ť 1288 - heptagonal number

   1289 - Sophie Germain prime, Mertens function zero ť 1291 - Mertens function zero

   1292 - Mertens function zero ť 1296 -

6^4

36^2

, sum of the cubes of the first eight positive integers, the number of rectangles on a normal 8x8 chessboard

   1297 - Mertens function zero ť 1299 - Mertens function zero

   1300 - Mertens function zero, largest possible win margin in an NAQT match ť 1301 - centered square number

   1302 - Mertens function zero ť 1306 - Mertens function zero

   1307 - safe prime ť 1312 - member of the Mian-Chowla sequence

   1308 - sum of totient function for first 65 integers ť 1318 - Mertens function zero

   1319 - safe prime ť 1325 - Markov number

   1326 - triangular number, hexagonal number, Mertens function zero ť 1328 - sum of totient function for first 66 integers

   1329 - Mertens function zero ť 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 ť 1332 - pronic number

   1335 - pentagonal number, Mertens function zero ť 1336 - Mertens function zero

   1337 - Used in the novel form of spelling called leet ť 1338 - Mertens function zero

   1342 - Mertens function zero ť 1350 - nonagonal number

   1365 - pentatope number ť 1367 - safe prime, balanced prime

   1369 -

37^2

, centered octagonal number ť 1371 - sum of the first 28 primes

   1378 - triangular number ť 1379 - magic constant of n × n normal magic square and n-Queens Problem for n = 14.

   1381 - centered pentagonal number ť 1387 - super-Poulet number, decagonal number

   1394 - sum of totient function for first 67 integers ť 1395 - vampire number, member of the Mian-Chowla sequence

   1404 - heptagonal number ť 1405 -

26^2 + 27^2

7^2 + 8^2 + cdots + 16^2

, centered square number

   1406 - pronic number, semi-meandric number ť 1409 - Sophie Germain prime, smallest number whose eight power is the sum of 8 eighth powers, Proth prime

   1419 - Zeisel number ť 1425 - self-descriptive number in base 5

   1426 - sum of totient function for first 68 integers ť 1426 - pentagonal number

   1430 - Catalan number ť 1431 - triangular number, hexagonal number

   1432 - member of Padovan sequence ť 1435 - vampire number; the standard railway gauge in millimetres, equivalent to 4' 8½"

   1439 - Sophie Germain prime, safe prime ť 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 ť 1444 -

38^2

, smallest pandigital number in Roman numerals

   1451 - Sophie Germain prime ť 1469 - octahedral number, highly cototient number

   1470 - pentagonal pyramidal number, sum of totient function for first 69 integers ť 1471 - centered heptagonal number

   1480 - sum of the first 29 primes ť 1481 - Sophie Germain prime

   1482 - pronic number ť 1485 - triangular number

   1487 - safe prime ť 1490 - tetranacci number

   1491 - nonagonal number, Mertens function zero ť 1492 - Mertens function zero

   1493 - Stern prime ť 1494 - sum of totient function for first 70 integers

   1496 - square pyramidal number ť 1499 - Sophie Germain prime

1500-1749

ť 1501 - centered pentagonal number

   1511 - Sophie Germain prime, balanced prime ť 1513 - centered square number

   1518 - Mertens function zero ť 1519 - Mertens function zero

   1520 - pentagonal number, Mertens function zero, forms a Ruth-Aaron pair with 1521 under second definition ť 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 ť 1524 - Mertens function zero

   1525 - heptagonal number, Mertens function zero ť 1527 - Mertens function zero

   1528 - Mertens function zero ť 1530 - vampire number

   1531 - Mertens function zero ť 1532 - Mertens function zero

   1535 - Thabit number ť 1537 - Keith number, Mertens function zero

   1540 - triangular number, hexagonal number, decagonal number, tetrahedral number ť 1543 - Mertens function zero

   1544 - Mertens function zero ť 1546 - Mertens function zero

   1556 - sum of the squares of the first nine primes ť 1559 - Sophie Germain prime

   1560 - pronic number ť 1564 - sum of totient function for first 71 integers

   1572 - member of the Mian-Chowla sequence ť 1575 - odd abundant number

   1583 - Sophie Germain prime ť 1588 - sum of totient function for first 72 integers

   1593 - sum of the first 30 primes ť 1596 - triangular number

   1597 - Fibonacci number, Markov number,Prime Number, emirp ť 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) ť 1616 - the year Shakespeare died

   1617 - pentagonal number ť 1618 - centered heptagonal number

   1619 - safe prime ť 1625 - centered square number

   1626 - centered pentagonal number ť 1633 - star number

   1638 - harmonic divisor number ť 1639 - nonagonal number

   1640 - pronic number ť 1649 - highly cototient number, Leyland number

   1651 - heptagonal number ť 1653 - triangular number, hexagonal number

   1657 - cuban prime ť 1660 - sum of totient function for first 73 integers

   1666 - largest efficient pandigital number in Roman numerals (each symbol occurs exactly once) ť 1679 - highly cototient number, semiprime (23 × 73) (see also Arecibo message)

   1680 - highly composite number ť 1681 -

41^2

, smallest number yielded by the formula

n^2 + n + 41

that isn't a prime; centered octagonal number

   1682 - member of a Ruth-Aaron pair (first definition) ť 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. ť 1696 - sum of totient function for first 74 integers

   1701 - decagonal number, hull number of the U.S.S. Enterprise on Star Trek ť 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 ť 1711 - triangular number

   1717 - pentagonal number ť 1720 - sum of the first 31 primes

   1722 - Giuga number, pronic number ť 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. ť 1733 - Sophie Germain prime

   1736 - sum of totient function for first 75 integers ť 1741 - centered square number

   1747 - balanced prime

1750-1999

ť 1753 - balanced prime

1756 - centered pentagonal number ť 1764 -

42^2

   1770 - triangular number, hexagonal number, Town of Seventeen Seventy in Australia ť 1771 - tetrahedral number

   1772 - centered heptagonal number, sum of totient function for first 76 integers ť 1782 - heptagonal number

   1785 - square pyramidal number ť 1791 - largest natural number that can't be expressed as a sum of at most four hexagonal numbers.

   1794 - nonagonal number ť 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 ť 1806 - pronic number, product of first four terms of Sylvester's sequence, primary pseudoperfect number

   1807 - fifth term of Sylvester's sequence ť 1811 - Sophie Germain prime

   1820 - pentagonal number, pentatope number ť 1821 - member of the Mian-Chowla sequence

   1823 - safe prime ť 1827 - vampire number

   1828 - meandric number, open meandric number ť 1830 - triangular number

   1832 - sum of totient function for first 77 integers ť 1834 - octahedral number, sum of the cubes of the first five primes

   1836 - factor by which a proton is more massive than an electron ť 1837 - star number

   1841 - Mertens function zero ť 1843 - Mertens function zero

   1844 - Mertens function zero ť 1845 - Mertens function zero

   1849 -

43^2

, centered octagonal number ť 1851 - sum of the first 32 primes

   1853 - Mertens function zero ť 1854 - Mertens function zero

   1856 - sum of totient function for first 78 integers ť 1857 - Mertens function zero

   1861 - centered square number, Mertens function zero ť 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 ť 1864 - Mertens function zero

   1866 - Mertens function zero ť 1870 - decagonal number

   1885 - Zeisel number ť 1889 - Sophie Germain prime, highly cototient number

   1891 - triangular number, hexagonal number, centered pentagonal number ť 1892 - pronic number

   1896 - member of the Mian-Chowla sequence ť 1897 - member of Padovan sequence

   1900 - 1900 or Novecento is a 1977 movie ť 1901 - Sophie Germain prime

   1907 - safe prime, balanced prime ť 1918 - heptagonal number

   1926 - pentagonal number ť 1929 - Mertens function zero

   1931 - Sophie Germain prime ť 1933 - centered heptagonal number

   1934 - sum of totient function for first 79 integers ť 1936 -

44^2

   1938 - Mertens function zero ť 1951 - cuban prime

   1953 - triangular number ť 1956 - nonagonal number

   1966 - sum of totient function for first 80 integers ť 1969 - the movie 1969 (film)

   1973 - Sophie Germain prime ť 1980 - pronic number

   1984 - 11111000000 in binary also see 1984 (disambiguation) ť 1985 - centered square number

   1988 - sum of the first 33 primes

Further Information

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