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A173080 Positive integers with the property that the sum of the cubes of their divisors is a multiple of 585. 0

%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

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Last modified September 17 21:55 EDT 2024. Contains 375990 sequences. (Running on oeis4.)