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1002 (number)

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← 1001 1002 1003 →
Cardinalone thousand [and] two
Ordinal1002nd
(one thousand [and] second)
Factorization2 × 3 × 167
Divisors1, 2, 6, 167, 334, 501, 1002
Greek numeral,ΑΒ´
Roman numeralMII, mii
Binary11111010102
Ternary11010103
Senary43506
Octal17528
Duodecimal6B612
Hexadecimal3EA16
Tamil௲௨
Chinese一千零二 (standard) or 壹仟零貳 (formal)
Punjabi੧੦੦੨

1002 (one thousand [and] two) is the natural number following 1001 and preceding 1003.[1]

In mathematics

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The prime factorization of 1002 is 2 * 3 * 167, meaning that 1002 is a composite number with 7 divisors.[1] It is also the number of partitions of the number 22,[2] a generalized pentadecagonal number,[3] a generalized heptadecagonal number,[4] and the smallest number (not including 1) such that its binary representation ends with its ternary representation.[5]

1002 is a number written in base of triangular numbers[6]

It is the ternary numeral system representation of the number 29.[7][8][9]

In November 2005, J. K. Andersen discovered a sexy quadruplet that has 1002 digits in total.[10][11]

In reading and writing

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The number 1002 is used primarily as an example to analyze how young children read and write 4-digit numbers containing embedded zeros. In reading, children commonly mistook 1002 as 102.[a] And in writing, first grade children frequently wrote the 3-digit number "one hundred two" as 1002.[b] They treat the phrase as two separate entities rather than grasping the overall place value rules of the written numeration system.[12]

Notes

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  1. ^ Children often treat zero as something that can be ignored instead of understanding its formal role as a placeholder. Alternatively, it could simply be an attempt to interpret an unfamiliar 4-digit number using a familiar 3-digit format.
  2. ^ This is a common mistake that happens since children tries spelling numbers phonetically based on how it sounds (one hundred = 100, and two = 2).

References

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  1. ^ a b Vanovschi, Vitalii. "Properties of the number 1002". www.numberempire.com. Retrieved 2026-09-18.
  2. ^ Sloane, N. J. A. (ed.). "Sequence A000041 (a(n) is the number of partitions of n (the partition numbers))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ^ Sloane, N. J. A. (ed.). "Sequence A277082 (Generalized 15-gonal (or pentadecagonal) numbers: n*(13*n - 11)/2, n = 0,+1,-1,+2,-2,+3,-3, ...)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. ^ Sloane, N. J. A. (ed.). "Sequence A303305 (Generalized 17-gonal (or heptadecagonal) numbers: m*(15*m - 13)/2 with m = 0, +1, -1, +2, -2, +3, -3, ...)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  5. ^ Khovanova, Tanya. "Properties of 1002". Number Gossip. Retrieved 2026-09-18.
  6. ^ Weisstein, Eric W. "Smarandache Sequences". mathworld.wolfram.com. Wolfram Research, Inc. Retrieved 2026-09-18.
  7. ^ Sloane, N. J. A. (ed.). "Sequence A007089 (Numbers in base 3)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  8. ^ Vanovschi, Vitalii. "Properties of the number 29". www.numberempire.com. Retrieved 2026-09-18.
  9. ^ Weisstein, Eric W. "Ternary". mathworld.wolfram.com. Wolfram Research, Inc. Retrieved 2026-09-18.
  10. ^ Weisstein, Eric W. "Sexy Primes". mathworld.wolfram.com. Wolfram Research, Inc. Retrieved 2026-09-18.
  11. ^ Vaidyanathan, Venkatesh (2019-01-28). "What Are Twin Primes, Cousin Primes And Sexy Primes?". ScienceABC. Retrieved 2026-09-18.
  12. ^ Baroody, Arthur J.; Gannon, Kathleen E.; Berent, Rusti; Ginsburg, Herbert P. (April 1983). The Development of Basic Formal Math Abilities (PDF). Biennial Meeting of the Society for Research in Child Development. Detroit, MI. ERIC ED229153.