Search: id:A067173
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%I A067173
%S A067173 2,3,5,7,126,154,315,329,342,418,442,1134,1826,2354,3383,4343,5282,
%T A067173 5561,6623,7515,7922,9331,9911,12773,13344,14161,15194,17267,18292,
%U A067173 21479,22831,26216,26522,29812,32129,33128,33912,57721,81191,81524
%N A067173 Numbers n such that the sum of the prime factors of n equals the product 
               of the digits of n.
%e A067173 The prime factors of 315 are 3,5,7, which sum to 15, the product of the 
               digits of 315, so 315 is a term of the sequence.
%t A067173 f[n_] := Module[{a, l, t, r}, a = FactorInteger[n]; l = Length[a]; t 
               = Table[a[[i]][[1]], {i, 1, l}]; r = Sum[t[[i]], {i, 1, l}]]; g[n_] 
               := Module[{b, m, s}, b = IntegerDigits[n]; m = Length[b]; s = Product[b[[i]], 
               {i, 1, m}]]; Select[Range[10^5], f[ # ] == g[ # ] &]
%Y A067173 Cf. A006753.
%Y A067173 Sequence in context: A076609 A117059 A117058 this_sequence A090718 A117703 
               A039944
%Y A067173 Adjacent sequences: A067170 A067171 A067172 this_sequence A067174 A067175 
               A067176
%K A067173 base,nonn
%O A067173 1,1
%A A067173 Joseph L. Pe (joseph_l_pe(AT)hotmail.com), Feb 18 2002

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