Consecutive Integers with Same Sigma/Examples/206

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Example of Consecutive Integers 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:

$\sigma \left({206}\right) = \sigma \left({207}\right) = 312$


Proof

From $\sigma$ of $206$:

$\sigma \left({206}\right) = 312$

From $\sigma$ of $207$:

$\sigma \left({207}\right) = 312$

Hence the result.

$\blacksquare$