Definition:Quadruply Perfect Number
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Definition
A quadruply perfect number is a positive integer $n$ such that the sum of its divisors is equal to $4$ times $n$.
Sequence of Quadruply Perfect Numbers
The sequence of quadruply perfect numbers begins:
- $30 \, 240, 32 \, 760, 2 \, 178 \, 540, 23 \, 569 \, 920, 45 \, 532 \, 800, 142 \, 990 \, 848, 1 \, 379 \, 454 \, 720, \ldots$
Examples
$30 \, 240$ is Quadruply Perfect
$30 \, 240$ is quadruply perfect:
- $\map {\sigma_1} {30 \, 240} = 120 \, 960 = 4 \times 30 \, 240$
Also known as
Some sources use the term fourfold perfect or four-fold perfect.
Also see
- Definition:Perfect Number
- Definition:Multiply Perfect Number
- Results about quadruply perfect numbers can be found here.