Consecutive Integers with Same Euler Phi Value/Examples/255

Example of Consecutive Integers with Same Euler Phi Value
Let $\phi: \Z_{>0} \to \Z_{>0}$ denote the Euler $\phi$ function: the number of strictly positive integers less than or equal to $n$ which are prime to $n$.

Then:
 * $\sigma \left({255}\right) = \sigma \left({256}\right) = 128$

Proof
From Euler Phi Function of 255:
 * $\sigma \left({255}\right) = 128$

From Euler Phi Function of 256:
 * $\sigma \left({256}\right) = 128$

Hence the result.