# 142857 number

142,857 is the best known cyclic number. If you multiply the number by 2, 3, 4, 5, or 6, the answer will be an anagram of itself.

142,857
Cardinal One hundred forty-two thousand,
eight hundred and fifty-seven
Ordinal 142,857th
Factorization ${\displaystyle 142857=3^{3}\cdot 11\cdot 13\cdot 37}$
Binary 100010111000001001
1 × 142,857 = 142,857
2 × 142,857 = 285,714
3 × 142,857 = 428,571
4 × 142,857 = 571,428
5 × 142,857 = 714,285
6 × 142,857 = 857,142
7 × 142,857 = 999,999


If you continue multiplying it by larger numbers, the result will always be some sort of variation on 142,857 or 999,999. For example:

      8 × 142,857 = 1,142,856 (Add the first digit to the last, and the last six will be 142,857.)
42 × 142,857 = 5,999,994 (Add the first digit to the last, and the last six will be 999,999.)
142,857 × 142,857 = 20,408,122,449 (Add the first five digits to the last six, and the last six will be 142,857.)


If you divide it by 2 or by 5 you also get an anagram of itself with decimal point:

142,857 ÷ 2 = 71,428.5
142,857 ÷ 5 = 28,571.4


If you square the last three digits and subtract the square of the first three digits, you also get back an anagram of the number.

${\displaystyle 857^{2}}$ = 734449
${\displaystyle 142^{2}}$ = 20164
734449 - 20164 = 714285


In base 10, 142,857 is a Harshad number and a Kaprekar number.

It is derived from the fraction 1⁄7 = 0 . 142857 142857 14… fr:142857 (nombre) sv:142857 (tal)