Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #9 Aug 12 2024 09:35:14
%S 8,24,40,56,72,88,104,120,128,136,152,168,179,184,200,216,232,248,264,
%T 280,296,312,323,328,344,358,360,376,384,389,392,398,408,424,437,440,
%U 456,459,472,488,493,504,520,536,537,552,568,569,584,600,616,621,632
%N Positive integers with the property that the sum of the cubes of their divisors is a multiple of 585.
%C It is easy to show that this sequence contains all positive integers of the form 16k+8.
%t Select[Range[700],Divisible[Total[Divisors[#]^3],585]&] (* _Harvey P. Dale_, Feb 23 2011 *)
%o (PARI) is(k) = !(sigma(k, 3) % 585); \\ _Amiram Eldar_, Aug 12 2024
%Y Cf. A001158.
%K nonn
%O 1,1
%A _John W. Layman_, Feb 09 2010