Divisor Sum of 362

Example of Divisor Sum of Non-Square Semiprime

$\map {\sigma_1} {362} = 546$

Proof

We have that:

$362 = 2 \times 181$

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

Hence:

\(\ds \map {\sigma_1} {362}\)

\(=\)

\(\ds \paren {2 + 1} \paren {181 + 1}\)

Divisor Sum of Non-Square Semiprime

\(\ds \)

\(=\)

\(\ds 3 \times 182\)

\(\ds \)

\(=\)

\(\ds 3 \times \paren {2 \times 7 \times 13}\)

\(\ds \)

\(=\)

\(\ds 546\)

$\blacksquare$