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How often is the number of divisors of n a divisor of n ?

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Publication:1060238
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DOI10.1016/0022-314X(85)90012-5zbMath0568.10021WikidataQ60018622 ScholiaQ60018622MaRDI QIDQ1060238

Claudia A. Spiro

Publication date: 1985

Published in: Journal of Number Theory (Search for Journal in Brave)


zbMATH Keywords

upper boundcardinalitynumber of divisors


Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37)


Related Items (5)

On consecutive integers divisible by the number of their divisors ⋮ On properties of sharp normal numbers and of non-Liouville numbers ⋮ On f(n) modulo Ω(n) and ω(n) when f is a polynomial ⋮ Some divisibilities amongst the terms of linear recurrences ⋮ Integers Divisible by the Sum of their Prime Factors



Cites Work

  • Unnamed Item
  • Unnamed Item
  • On the number of restricted prime factors of an integer. II
  • Extensions of some formulae of A. Selberg
  • Frequency of coprimality of the values of a polynomial and a prime-independent multiplicative function
  • Estimates for partial sums of the exponential series
  • How Often Does the Number of Divisors of an Integer Divide Its Successor?
  • An asymptotic formula for the property (n,f(n)) = 1 for a class of multiplicative functions


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