Amicable Pair/Examples/17,296-18,416

Example of Amicable Pair
$17 \, 296$ and $18 \, 416$ are the $8$th amicable pair:
 * $\sigma \left({17 \, 296}\right) = \sigma \left({18 \, 416}\right) = 35 \, 442 = 17 \, 296 + 18 \, 416$

Proof
Let $s \left({n}\right)$ denote the aliquot sum of $n$.

By definition:
 * $s \left({n}\right) = \sigma \left({n}\right) - n$

where $\sigma \left({n}\right)$ denotes the $\sigma$ function.

Thus: