MathDB

M2548

Part of Kvant 2019

Problems(1)

Numbers with sum of proper divisors bigger then them

Source: Kvant Magazine No. 2 2019 M2548*

3/14/2023
A non-negative integer nn is called [I]redundant[/I] if the sum of all his proper divisors is bigger than nn. Prove that for each non-negative integer NN there are NN consecutive redundant non-negative integers.
[I]Proposed by V. Bragin[/I]
number theoryKvant