Divisor Sum of Non-Square Semiprime/Examples/26/Proof 2
Jump to navigation
Jump to search
Example of Divisor Sum of Non-Square Semiprime
- $\map {\sigma_1} {26} = 42$
Proof
We have that:
- $26 = 2 \times 13$
and so by definition is a semiprime whose prime factors are distinct.
Hence:
\(\ds \map {\sigma_1} {26}\) | \(=\) | \(\ds \paren {2 + 1} \paren {13 + 1}\) | Divisor Sum of Non-Square Semiprime | |||||||||||
\(\ds \) | \(=\) | \(\ds 3 \times 14\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 42\) |
$\blacksquare$