All numbers whose positive divisors have integral harmonic mean up to $\mathbf {300}$

DOI10.1090/S0025-5718-03-01554-0zbMath1094.11005MaRDI QIDQ4433143

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Publication date: 29 October 2003

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

harmonic numberperfect numberOre's conjecture

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Values of arithmetic functions; tables (11Y70)

Related Items (6)

Odd harmonic numbers exceed 10²⁴ ⋮ Harmonic numbers and finite groups. ⋮ All harmonic numbers less than \(10^{14}\) ⋮ Upper bounds for unitary perfect numbers and unitary harmonic numbers ⋮ Superharmonic numbers ⋮ On the largest prime divisor of an odd harmonic number

Cites Work

• Über das harmonische Mittel der Teiler einer natürlichen Zahl. I, II
• Numbers whose positive divisors have small integral harmonic mean
• On the Averages of the Divisors of a Number
• On Numbers with Integral Harmonic Mean
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