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math.NT2014
Integers with large practical component
Andreas Weingartner
A positive integer is called practical if all integers between and can be written as a sum of distinct divisors of . We give an asymptotic estimate for the number of…
math.NT2014
Practical numbers and the distribution of divisors
Andreas Weingartner
An integer is called practical if every can be written as a sum of distinct divisors of . We show that the number of practical numbers below is asymptotic to $c…