Definition:Happy Number
Jump to navigation
Jump to search
Definition
Let $n \in \Z_{>0}$ be a positive integer.
Square the digits of $n$ and add the results.
Repeat.
If this process eventually reaches $1$, then $n$ is a happy number.
Sequence
The sequence of happy numbers begins:
- $1, 7, 10, 13, 19, 23, 28, 31, 32, 44, 49, 68, 70, 79, 82, 86, 91, 94, 97, 100, 103, 109, 129, 130, \ldots$
Sources
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $31$