Amicable Pair/Examples/10,744-10,856

Example of Amicable Pair
$10 \, 744$ and $10 \, 856$ are the $6$th amicable pair:
 * $\map \sigma {10 \, 744} = \map \sigma {10 \, 856} = 21 \, 600 = 10 \, 744 + 10 \, 856$

Proof
By definition, $m$ and $n$ form an amicable pair :
 * $\map \sigma m = \map \sigma n = m + n$

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

Thus: