Divisor Sum of 106

Example of Divisor Sum of Non-Square Semiprime

$\map {\sigma_1} {106} = 162$

where $\sigma_1$ denotes the divisor sum function.

Proof

We have that:

$106 = 2 \times 53$

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

Hence:

\(\ds \map {\sigma_1} {106}\)

\(=\)

\(\ds \paren {2 + 1} \paren {53 + 1}\)

Divisor Sum of Non-Square Semiprime

\(\ds \)

\(=\)

\(\ds 3 \times 54\)

\(\ds \)

\(=\)

\(\ds 162\)

$\blacksquare$