# Sigma Function of 6

## Example of Sigma Function of Integer

$\sigma \left({6}\right) = 12$

where $\sigma$ denotes the $\sigma$ function.

## Proof

We have that:

$6 = 2 \times 3$

Hence:

 $\displaystyle \sigma \left({6}\right)$ $=$ $\displaystyle \left({2 + 1}\right) \left({3 + 1}\right)$ Sigma Function of Non-Square Semiprime $\displaystyle$ $=$ $\displaystyle 3 \times 4$ $\displaystyle$ $=$ $\displaystyle 2^2 \times 3$ $\displaystyle$ $=$ $\displaystyle 12$

$\blacksquare$