Definition:Quasiamicable Numbers

Definition
Let $m \in \Z_{>0}$ and $n \in \Z_{>0}$ be (strictly) positive integers.

$m$ and $n$ are quasiamicable numbers :

That is:
 * the sum of the proper divisors of $m$ is equal to $n$

and:
 * the sum of the proper divisors of $n$ is equal to $m$.

Also known as
Quasiamicable numbers are often referred to as quasiamicable pairs, which acknowledges the fact that they come in sets of $2$ at a time.

Some sources hyphenate: quasi-amicable.

They are often seen with the name betrothed numbers.

Some sources refer to quasiamicable pairs as reduced amicable pairs.

Also see

 * Smallest Pair of Quasiamicable Numbers


 * Definition:Amicable Numbers