Divisor Sum of Non-Square Semiprime/Examples/38
< Divisor Sum of Non-Square Semiprime | Examples(Redirected from Divisor Sum of 38)
Jump to navigation
Jump to search
Example of Divisor Sum of Non-Square Semiprime
- $\map {\sigma_1} {38} = 60$
where $\sigma_1$ denotes the divisor sum function.
Proof
We have that:
- $38 = 2 \times 19$
and so by definition is a semiprime whose prime factors are distinct.
Hence:
| \(\ds \map {\sigma_1} {38}\) | \(=\) | \(\ds \paren {2 + 1} \paren {19 + 1}\) | Divisor Sum of Non-Square Semiprime | |||||||||||
| \(\ds \) | \(=\) | \(\ds 3 \times 20\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 60\) |
$\blacksquare$