It is somewhat complicated; so I want to point out to the Wikipedia article that explains it: http://en.wikipedia.org/wiki/Happy_number
The origin of the name "happy" is not explained there, it seems; I would guess it means "happy" in the sense of "lucky", in the sense that you are lucky to get a certain result.
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happy
That is how even numbers are defined!
The first ten happy numbers are: 1, 7, 10, 13, 19, 23, 28, 31, 32, 44
The first ten happy numbers are 1, 7, 10, 13, 19, 23, 28, 31, 32, and 44.
The happy prime numbers between 300 and 400 are as follows:313, 331, 367, 379, 383, 397