Amicable Pair/Examples/5020-5564

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

Proof
Let $\map s n$ denote the aliquot sum of $n$.

By definition:
 * $\map s n = \map \sigma n - n$

where $\map \sigma n$ denotes the $\sigma$ function.

Thus: