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:
 * $\map \sigma {54} = \map \sigma {56} = 120$

Proof
From :
 * $\map \sigma {54} = 120$

From :
 * $\map \sigma {56} = 120$

Hence the result.