Consecutive Integers with Same Divisor Sum/Examples

Examples of Consecutive Integers with Same Divisor Sum

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

The following are solutions to the equation:

$\map {\sigma_1} n = \map {\sigma_1} {n + 1}$

$\sigma_1$ of $14$ equals $\sigma_1$ of $15$

$\map {\sigma_1} {14} = \map {\sigma_1} {15} = 24$

$\sigma_1$ of $206$ equals $\sigma_1$ of $207$

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