Almost Perfect Numbers/Examples/16
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Examples of Almost Perfect Numbers
- $16$ is an almost perfect number.
Proof 1
The divisors of $16$, not including $16$ itself are:
- $1, 2, 4, 8$
Thus we have:
- $1 + 2 + 4 + 8 = 15 = 16 - 1$
Hence the result by definition of almost perfect.
Proof 2
We have that:
- $16 = 2^4$
and so is a power of $2$.
The result follows from Power of 2 is Almost Perfect.