338

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Number

$338$ (three hundred and thirty-eight) is:

$2 \times 13^2$

The $54$th happy number after $1$, $7$, $10$, $13$, $19$, $23$, $\ldots$, $226$, $230$, $236$, $239$, $262$, $263$, $280$, $291$, $293$, $301$, $302$, $310$, $313$, $319$, $320$, $326$, $329$, $331$:

$338 \to 3^2 + 3^2 + 8^2 = 9 + 9 + 64 = 82 \to 8^2 + 2^2 = 64 + 4 = 68 \to 6^2 + 8^2 = 36 + 64 = 100 \to 1^2 + 0^2 + 0^2 = 1$

Also see

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