Science Fair Project Encyclopedia
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.
| 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...
Last updated: 05-24-2005 09:53:29
12-19-2008 14:25:18
The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details
The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details


