142857

← 142856 142857 142858 →
Cardinalone hundred forty-two thousand eight hundred fifty-seven
Ordinal142857th
(one hundred forty-two thousand eight hundred fifty-seventh)
Factorization33 × 11 × 13 × 37
Divisors1, 3, 9, 11, 13, 27, 33, 37, 39, 99, 111, 117, 143, 297, 333, 351, 407, 429, 481, 999, 1221, 1287, 1443, 3663, 3861, 4329, 5291, 10989, 12987, 15873, 47619, 142857
Greek numeral͵βωνζ´
Roman numeralCXLMMDCCCLVII
Binary1000101110000010012
Ternary210202220003
Senary30212136
Octal4270118
Duodecimal6A80912
Hexadecimal22E0916

142,857 is the natural number following 142,856 and preceding 142,858. It is a Kaprekar number.[1]

142857, the six repeating digits of 1/7 (0.142857), is the best-known cyclic number in base 10.[2][3][4][5] If it is multiplied by 2, 3, 4, 5, or 6, the answer will be a cyclic permutation of itself, and will correspond to the repeating digits of 2/7, 3/7, 4/7, 5/7, or 6/7 respectively.

  1. ^ "Sloane's A006886: Kaprekar numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-03.
  2. ^ "Cyclic number". The Internet Encyclopedia of Science. Archived from the original on 2007-09-29.
  3. ^ Ecker, Michael W. (March 1983). "The Alluring Lore of Cyclic Numbers". The Two-Year College Mathematics Journal. 14 (2): 105–109. doi:10.2307/3026586. JSTOR 3026586.
  4. ^ "Cyclic number". PlanetMath. Archived from the original on 2007-07-14.
  5. ^ Hogan, Kathryn (August 2005). "Go figure (cyclic numbers)". Australian Doctor. Archived from the original on 2007-12-24.