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Cabric Number Algorithms ខែមិថុនា 7, 2009

Posted by psvjupiter in Uncategorized.
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If we input a number formed by 4 digits and these digits are not all of one same value, then it obeys the following law. Let us operate the number in the following way:
(1) Arrange the digits in the way from bigger to smaller, such that it forms the biggest number that could be made from these 4 digits;
(2) Arrange the digits in the way from smaller to bigger, such that it forms the smallest number that could be made from these 4 digits (If there is 0 among these 4 digits, the number obtained may be less than four digits);
(3) Find the difference of these two numbers that is a new four digital number.
Repeat the above process, we can finally always get the result 6174 or 0.
For example:

N=5364:
6543-3456=3087
8730-378=8352
8532-2358=6174
Ok!! 3 times
N=2221:
2221-1222=999
999-999=0
Ok!! 2 times
N=4444:
No!!

មតិ»

1. kienforcefidele - ខែមិថុនា 13, 2009

This formula is cool. Well, you can’t use 4444 because they are all the same digits.


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