A119240 Least odd number k such that sigma(k)/k >= n.

1, 945, 1018976683725, 1853070540093840001956842537745897243375

Offset: 1

Author

T. D. Noe, May 09 2006

Keywords

• nonn

Comments

These numbers are a subset of the oddly superabundant numbers, A119239. Laatsch mentions a(3). Pettigrew computes a(4) and a(5), the latter being a 123-digit number.

Pettigrew (link, Tableau 5, p. 21) gives a(5) as 3^6*5^4*7^3*11^2*13^2*17^2*19*...*277. - Jeppe Stig Nielsen, Jul 03 2017

Links

• Jeppe Stig Nielsen, Table of n, a(n) for n = 1..5
• Richard Laatsch, Measuring the abundancy of integers, Mathematics Magazine 59 (2) (1986) 84-92.
• Walter Nissen, Abundancy : Some Resources
• Steve Pettigrew, Sur la distribution de nombres spéciaux consécutifs, M.Sc. Thesis, Univ. Laval, 2000.

Crossrefs

Cf. A023199 (least number k such that sigma(k)/k >= n).