682

Number
$682$ (six hundred and eighty-two) is:


 * $2 \times 11 \times 31$


 * The $5$th of the $3$-digit integers $m$ which need the largest number of reverse-and-add process iterations ($23$) before reaching a palindromic number:
 * $682, 968, 1837, \ldots, 8713200023178$


 * The $8$th positive integer $n$ after $157$, $262$, $367$, $412$, $472$, $487$, $487$ for which $\map \phi {2 n + 1} < \map \phi {2 n}$:
 * $\map \phi {2 \times 682 + 1} = 576, \map \phi {2 \times 682} = 600$