142857 (number)

The number 142,857 has some interesting mathematical properties. If you multiply the number by 2, 3, 4, 5 or 6 the answer will be an anagram of itself.

1 x 142,857 = 142,857
2 x 142,857 = 285,714
3 x 142,857 = 428,571
4 x 142,857 = 571,428
5 x 142,857 = 714,285
6 x 142,857 = 857,142
7 x 142,857 = 999,999

If you continue multiplying it by larger numbers, the result will always be some sort of variation on 142857 or 999999. For example:

      8 x 142,857 = 1,142,856 (Add the first digit and the last and you get 142857.)
     42 x 142,857 = 5,999,994
142,857 x 142,857 = 20,408,122,449 (Add the first five digits to the last six and you get 142857.)

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

It is also similar to the first few digits of Pi.

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...