A174572 Highly abundant odd numbers: odd n such that sigma(n) is a record.

1, 3, 5, 7, 9, 13, 15, 21, 27, 33, 39, 45, 57, 63, 75, 93, 99, 105, 135, 165, 189, 195, 225, 255, 273, 285, 315, 399, 405, 441, 465, 495, 525, 585, 675, 693, 735, 765, 819, 825, 855, 945, 1125, 1155, 1305, 1365, 1485, 1575, 1755, 1785, 1995, 2145, 2205

Offset: 1

Author

T. D. Noe, Mar 24 2010

Keywords

• nonn

Links

• T. D. Noe, Table of n, a(n) for n=1..1000

Crossrefs

Cf. A002093 (highly abundant numbers).

Programs

Mathematica

mx=0; t={}; Do[ds=DivisorSigma[1,n]; If[ds>mx, mx=ds; AppendTo[t,n]], {n,1,10^4,2}]; t