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

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

Proof
By definition, $m$ and $n$ form an amicable pair :
 * $\sigma \left({m}\right) = \sigma \left({n}\right) = m + n$

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

Thus: