Amicable Pair/Examples/5020-5564

Example of Amicable Pair
$5020$ and $5564$ are the $4$th amicable pair:
 * $\sigma \left({5020}\right) = \sigma \left({5564}\right) = 10 \, 584 = 5020 + 5564$

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: