Oscar
Member since 2006.
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A happy number is defined by the following process. Starting with any positive integer, the following process can be applied: replace the number by the sum of the squares of its digits, and repeat the process until the number equals 1 (where it will stay), or it loops endlessly in a cycle which does not include 1. Those numbers for which this process ends in 1 are happy numbers and those that do not are unhappy numbers. A computer search up to 1020 suggests that about 12% of numbers are happy, though no proof is known.
For example, 7 is happy, as the associated sequence is:
7^2 = 4^9
4^2 + 9^2 = 97
9^2 + 7^2 = 130
1^2 + 3^2 + 0^2 = 10
1^2 + 0^2 = 1
~thanks wikipedia.org
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