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

Example of Amicable Pair
$10 \, 744$ and $10 \, 856$ are the $6$th amicable pair:
 * $\map {\sigma_1} {10 \, 744} = \map {\sigma_1} {10 \, 856} = 21 \, 600 = 10 \, 744 + 10 \, 856$

Proof
By definition, $m$ and $n$ form an amicable pair :
 * $\map {\sigma_1} m = \map {\sigma_1} n = m + n$

where $\sigma_1$ denotes the divisor sum function.

Thus: