login
A046361
Composite a(n) divided by the palindromic sum of its prime factors is a palindrome (counted with multiplicity).
2
4, 16, 27, 9306, 21091, 26180, 32648, 37752, 53295, 158562, 278784, 337590, 615648, 667376, 776556, 870232, 1066648, 1097679, 1345431, 1919456, 2421132, 2439558, 2555520, 2618021, 2939904, 4043952, 4060056, 4300992, 4953432, 4975353, 5066600, 5100894, 5316399
OFFSET
1,1
LINKS
EXAMPLE
9306 = 2 * 3 * 3 * 11 * 47 -> Sum of factors is palindrome 66 -> 9306 / 66 = 141 and quotient 141 is also palindromic.
MATHEMATICA
palQ[n_]:=Reverse[x=IntegerDigits[n]]==x; t={}; Do[If[!PrimeQ[n]&&IntegerQ[z=n/(y=Total[Times@@@FactorInteger[n]])]&&And@@palQ/@{y, z}, AppendTo[t, n]], {n, 4, 3*10^6}]; t (* Jayanta Basu, Jun 05 2013 *)
CROSSREFS
Sequence in context: A227609 A219338 A275211 * A228167 A017569 A161335
KEYWORD
nonn,base
AUTHOR
Patrick De Geest, Jun 15 1998
EXTENSIONS
Offset set to 1 and more terms added by Giovanni Resta, Nov 01 2019
STATUS
approved