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A046360 Palindromes divisible by the palindromic sum of their prime factors (counted with multiplicity). 2
4, 5445, 234432, 585585, 888888, 951159, 999999, 1345431, 2554552, 4620264, 5842485, 6151516, 9704079, 12333321, 40199104, 42266224, 42666624, 44088044, 46355364, 63599536, 63633636, 420838024, 424848424, 631949136, 649363946 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..25.

EXAMPLE

649363946 = 2 * 7 * 11 * 83 * 101 * 503 -> Sum of factors is palindrome 707 -> 649363946 / 707 = 918478 exactly.

MATHEMATICA

palQ[n_]:= Reverse[x=IntegerDigits[n]] == x; t={}; Do[If[!PrimeQ[n] && And@@palQ/@{n, y=Total[Times@@@FactorInteger[n]]} && IntegerQ[n/y], AppendTo[t, n]], {n, 4, 6*10^6}]; t (* Jayanta Basu, Jun 05 2013 *)

CROSSREFS

Cf. A046358, A046359.

Sequence in context: A203036 A102205 A283663 * A079232 A137045 A077258

Adjacent sequences:  A046357 A046358 A046359 * A046361 A046362 A046363

KEYWORD

nonn,base

AUTHOR

Patrick De Geest, Jun 15 1998.

STATUS

approved

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Last modified August 19 13:00 EDT 2017. Contains 290807 sequences.