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

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, 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, 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

Offset

1,12

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Mathematica

Table[ Plus @@ Select[ Divisors[ n ], (Length[ FactorInteger[ # ] ]>1 && #<n )& ], {n, 1, 100} ]
scd[n_]:=Total[Select[Most[Divisors[n]], CompositeQ[#]&&!PrimePowerQ[#]&]]; Array[scd, 90] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Jan 09 2019 *)

Crossrefs

Cf. A000203, A035321, A023891, A060278.

Sequence in context: A294887 A331979 A005872 * A270031 A284105 A331928

Adjacent sequences: A035319 A035320 A035321 * A035323 A035324 A035325

Keyword

nonn

Author

N. J. A. Sloane.

Extensions

Description corrected by Jack Brennen, Mar 28 2001

Status

approved