18,416

Number
$18 \, 416$ (eighteen thousand, four hundred and sixteen) is:
 * $2^4 \times 1151$


 * The larger of the $8$th amicable pair, with $18 \, 416$:
 * $\map {\sigma_1} {17 \, 296} = \map {\sigma_1} {18 \, 416} = 35 \, 712 = 17 \, 296 + 18 \, 416$
 * which is also the $2$nd Thabit pair:
 * $17 \, 296 = 2^4 \times 23 \times 47 = 2^4 \paren {3 \times 2^4 - 1} \paren {3 \times 2^{3 - 1} - 1}, 18 \, 416 = 2^4 \paren {9 \times 2^{2 \times 4 - 1} - 1}$