A072824 Sum of aliquot divisors of Ramanujan's highly composite numbers.

0, 1, 3, 6, 16, 36, 55, 76, 108, 240, 366, 504, 810, 1698, 2040, 3108, 4272, 6840, 14304, 21240, 29232, 44400, 59088, 74744, 84600, 134688, 152712, 176688, 262440, 360864, 547920, 729216, 922128, 1118880, 1661616, 1882944, 2260800, 2529072

Offset

1,3

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Formula

a(n) = A001065(A002182(n)). - Amiram Eldar, Aug 05 2019

Example

a(3) = 3 because sum of aliquot divisors of 3rd highly composite number i.e. 4 is 1 + 2 = 3.

Mathematica

aliq[n_] := DivisorSigma[1, n] - n; s = {}; dm = 0; Do[d = DivisorSigma[0, n]; If[d > dm, dm = d; AppendTo[s, aliq[n]]], {n, 1, 1000}]; s (* Amiram Eldar, Aug 05 2019 *)

Crossrefs

Cf. A001065, A002182.

Sequence in context: A319752 A130095 A293993 * A360229 A369432 A089406

Adjacent sequences: A072821 A072822 A072823 * A072825 A072826 A072827

Keyword

nonn

Author

Shyam Sunder Gupta, Jul 21 2002

Status

approved