Consecutive Integers with Same Divisor Sum/Examples/206

Example of Consecutive Integers with Same Divisor Sum

Let $\sigma_1: \Z_{>0} \to \Z_{>0}$ denote the divisor sum function.

Then:

$\map {\sigma_1} {206} = \map {\sigma_1} {207} = 312$

Proof

From $\sigma_1$ of $206$:

$\map {\sigma_1} {206} = 312$

From $\sigma_1$ of $207$:

$\map {\sigma_1} {207} = 312$

Hence the result.

$\blacksquare$