COOKIE CONSENT: By continuing to browse my site you agree to its use of cookies. OK or Tell me more
Search a number
A number n which has a divisors d such that 2⋅n = σ(n) - 2⋅d. more

The first 600 admirable numbers :

Distribution of the remainders when the numbers in this family are divided by n=2, 3,..., 11. (I took into account 1345934 values, from 12 to 99999956).

n\r 0  1
21345818116 2
31071336137208137390 3
427456355107125561 4
5145336332336371336561336525 5
6107122001373901161372080 6
7254925181793181928181759181927181822181780 7
81968927535773272548742853548234 8
9104457154577553578945755457955354434573845820 9
1048733636943365199733632523365576 10
1176134627134593134724134488134603134480134583134576134586134598

A pictorial representation of the table above
Imagine to divide the members of this family by a number n and compute the remainders. Should they be uniformly distributed, each remainder from 0 to n-1 would be obtained in about (1/n)-th of the cases. This outcome is represented by a white square. Reddish (resp. bluish) squares represent remainders which appear more (resp. less) frequently than 1/n.