A046345 Sum of the prime factors of the palindromic composite numbers (counted with multiplicity).

4, 5, 6, 6, 13, 14, 15, 16, 16, 18, 17, 17, 40, 22, 50, 30, 25, 103, 57, 42, 35, 24, 17, 133, 25, 52, 77, 104, 36, 43, 21, 25, 134, 105, 31, 59, 40, 44, 229, 37, 84, 26, 34, 106, 108, 20, 112, 114, 45, 118, 33, 24, 29, 106, 24, 315, 60, 38, 49, 45, 30, 23, 38, 108, 242, 78

Offset: 1

Author

Patrick De Geest, Jun 15 1998

Keywords

• nonn
• base

Examples

			a(60)=45 because 666 = 2 * 3 * 3 * 37 and 45 = 2 + 3 + 3 + 37.
		

Crossrefs

Cf. A046343, A046344.

Programs

Mathematica

t={}; Do[If[!PrimeQ[n]&&Reverse[x=IntegerDigits[n]]==x,AppendTo[t,Total[Times@@@FactorInteger[n]]]],{n,4,740}]; t (* Jayanta Basu, Jun 04 2013 *)

Formula

a(n) = A001414(A032350(1+n)). - R. J. Mathar, Sep 09 2015

Extensions

Offset set to 1. - R. J. Mathar, Sep 09 2015