Divisor Count of 8
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Example of Use of Divisor Count Function
- $\map {\sigma_0} 8 = 4$
where $\sigma_0$ denotes the divisor count function.
Proof
| \(\ds \map {\sigma_0} 8\) | \(=\) | \(\ds \map {\sigma_0} {2^3}\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 3 + 1\) | Divisor Count Function of Power of Prime | |||||||||||
| \(\ds \) | \(=\) | \(\ds 4\) |
The divisors of $4$ can be enumerated as:
- $1, 2, 4, 8$
$\blacksquare$