Divisor Sum of 97,946

Example of Divisor Sum of Integer

$\map {\sigma_1} {97 \, 946} = 146 \, 922$

where $\sigma_1$ denotes the divisor sum function.

Proof

We have that:

$97 \, 946 = 2 \times 48 \, 973$

Hence:

\(\ds \map {\sigma_1} {97 \, 946}\)

\(=\)

\(\ds \paren {2 + 1} \times \paren {48 \, 973 + 1}\)

Divisor Sum of Non-Square Semiprime

\(\ds \)

\(=\)

\(\ds 3 \times 48 \, 974\)

\(\ds \)

\(=\)

\(\ds 3 \times \paren {2 \times 47 \times 521}\)

\(\ds \)

\(=\)

\(\ds 146 \, 922\)

$\blacksquare$