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Home > 142857 (number)


 

199e05 142857

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.

142857
Cardinal One hundred forty-two thousand,
eight hundred and fifty-seven
Ordinal 142857th
Factorization
Binary 100010111000001001
Hexadecimal 22E09


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...



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