Integers Differing by 2 with Same Divisor Sum/Examples/54

Example of Integers Differing by 2 with Same Sigma
Let $\sigma: \Z_{>0} \to \Z_{>0}$ denote the $\sigma$ function: the sum of all the positive integer divisors of $n$.

Then:
 * $\sigma \left({54}\right) = \sigma \left({56}\right) = 120$

Proof
From Sigma of 54:
 * $\sigma \left({54}\right) = 120$

From Sigma of 56:
 * $\sigma \left({56}\right) = 120$

Hence the result.