login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Odd numbers divisible by the palindromic sum of their prime factors (counted with multiplicity).
2

%I #17 Oct 18 2019 04:05:47

%S 27,627,3861,4543,5445,7881,8085,18711,21091,22275,23463,25575,33495,

%T 36729,39875,49335,53295,60297,69575,77319,79475,95095,113135,120835,

%U 126665,129129,134343,142191,152163,162393,166383,166419,169275,175545

%N Odd numbers divisible by the palindromic sum of their prime factors (counted with multiplicity).

%e 60297 = 3 * 101 * 199 -> Sum of factors is palindrome 303 -> 60297 / 303 = 199 exactly.

%t palQ[n_]:= Reverse[x=IntegerDigits[n]] == x; Select[Range[9, 175549, 2], !PrimeQ[#] && palQ[y=Total[Times@@@FactorInteger[#]]] && IntegerQ[#/y]&] (* _Jayanta Basu_, Jun 05 2013 *)

%Y Cf. A046358, A046360.

%K nonn,base

%O 1,1

%A _Patrick De Geest_, Jun 15 1998

%E Offset 1 from _Michel Marcus_, Oct 18 2019