Problem

erdos:825

True ↔ ∃ C, ∃ (_ : C > 0), ∀ (n : ℕ), ↑((ArithmeticFunction.sigma 1) n) > C * ↑n → ∃ s ⊆ n.properDivisors, n = s.sum id

Open Current State

Declared status: proved
Formalization: formalized
Prize: $25
Subjects: number theory
OEIS: A006037 · A330244
Sources: source:erdos-problemssource:formal-conjectures
Statement: www.erdosproblems.com

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