Definition:Multiply Perfect Number/Order

Definition

Let $n \in \Z_{>0}$ be a multiply perfect number such that the sum of its divisors is equal to $m \times n$.

Then $n$ is multiply perfect of order $m$.

Also known as

Some sources use $n$-fold perfect.

Sources

• 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $120$
• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $120$