A303736 -id:A303736 - cp's OEIS frontend

A318172 Decimal expansion of the asymptotic density of deficient numbers.

7, 5, 2, 3, 8, 0, 3

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Muniru A Asiru, Aug 20 2018

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A number n is abundant if sigma(n) > 2n, perfect if sigma(n) = 2n, deficient if sigma(n) < 2n, where sigma(n) is the sum of the divisors of n. Since the asymptotic density of the perfect numbers is 0, the asymptotic density of the deficient numbers (0.752380...) + the asymptotic density of the abundant numbers (0.247619...) is 1. - Muniru A Asiru, Oct 13 2018

			0.7523803...

Peter Gerralld Banda, The Schnirelmann density of the set of deficient numbers, Thesis, California State Polytechnic University, Pomona, 2015.
Nathan McNew and Jai Setty, On the densities of covering numbers and abundant numbers, arXiv:2507.23041 [math.NT], 2025.

Cf. A005100, A302991, A303736.

Equals 1 - A302991.

a(6) from Amiram Eldar, Aug 02 2025

cp's OEIS Frontend

A318172 Decimal expansion of the asymptotic density of deficient numbers.

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