Divisor Sum of 46

Example of Divisor Sum of Non-Square Semiprime

$\map {\sigma_1} {46} = 72$

where $\sigma_1$ denotes the divisor sum function.

Proof

We have that:

$46 = 2 \times 23$

and so by definition is a semiprime whose prime factors are distinct.

Hence:

\(\ds \map {\sigma_1} {46}\)

\(=\)

\(\ds \paren {2 + 1} \paren {23 + 1}\)

Divisor Sum of Non-Square Semiprime

\(\ds \)

\(=\)

\(\ds 3 \times 24\)

\(\ds \)

\(=\)

\(\ds 72\)

$\blacksquare$