Integers Divisible by the Sum of their Prime Factors

DOI10.1112/S0025579300000346zbMath1117.11010OpenAlexW2125836330MaRDI QIDQ3410740

Florian Luca, Jean-Marie De Koninck

Publication date: 16 November 2006

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300000346

zbMATH Keywords

arithmetic functionPrimes

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Primes (11A41)

Related Items (4)

Integers divisible by sums of powers of their prime factors ⋮ Composite positive integers whose sum of prime factors is prime ⋮ Some arithmetic properties of the sum of proper divisors and the sum of prime divisors ⋮ On sum of prime factors of composite positive integers

Cites Work

• The distribution of the average prime divisor of an integer
• How often is the number of divisors of n a divisor of n ?
• On the number of positive integers \(\leq x\) and free of prime factors \(>y\)
• Some identities for the Riemann zeta-function
• Chebyshev's Inequality and Natural Density
• Uniform distribution of the fractional part of the average prime divisor

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