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A035322 Sum of composite divisors of n that are less than n and are not primes nor prime powers.

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%I A035322 #13 Jul 08 2025 21:33:08
%S A035322 0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,6,0,10,0,0,0,18,0,0,0,14,0,31,0,0,
%T A035322 0,0,0,36,0,0,0,30,0,41,0,22,15,0,0,42,0,10,0,26,0,24,0,42,0,0,0,93,0,
%U A035322 0,21,0,0,61,0,34,0,59,0,96,0,0,15,38,0,71,0,70,0,0,0,123,0,0,0,66,0
%N A035322 Sum of composite divisors of n that are less than n and are not primes nor prime powers.
%H A035322 Harvey P. Dale, <a href="/A035322/b035322.txt">Table of n, a(n) for n = 1..1000</a>
%t A035322 Table[ Plus @@ Select[ Divisors[ n ], (Length[ FactorInteger[ # ] ]>1 && #<n )& ], {n, 1, 100} ]
%t A035322 scd[n_]:=Total[Select[Most[Divisors[n]],CompositeQ[#]&&!PrimePowerQ[#]&]]; Array[scd,90] (* Requires Mathematica version 10 or later *) (* _Harvey P. Dale_, Jan 09 2019 *)
%Y A035322 Cf. A000203, A035321, A023891, A060278.
%K A035322 nonn
%O A035322 1,12
%A A035322 _N. J. A. Sloane_
%E A035322 Description corrected by _Jack Brennen_, Mar 28 2001