A169806 Nonpalindromic numbers k such that k = R(k) + P(k) where R(k) is reversal(k) and P(k) is the product of the digits of k.

354253, 385863, 398573, 534235, 653936, 676356, 682566, 695276, 853638, 35369253, 35639453, 45469254, 45636454, 45839454, 53369235, 53639435, 54469245, 54636445, 54839445, 55769255, 56814665, 56941765, 59236195

Offset

1,1

Comments

Number of terms below 10^8 is 29.

Obviously each palindromic number k that has at least one zero digit also has the property that k = R(k) + P(k), since R(k)=k and P(k)=0.

All other terms below 10^8 are 59871495, 65814656, 65941756, 95236159, 95871459 and 99429579.

354253 and 1655425561 are the first two prime terms of the sequence.

Links

Table of n, a(n) for n=1..23.

Example

354253 = 352453 + 3*5*4*2*5*3 = reversal(354253) + 3*5*4*2*5*3, so 354253 is a term.

Mathematica

r[n_] := FromDigits[Reverse[IntegerDigits[n]]]; Do[
If[n > r[n] && n == r[n] + Apply[Times, IntegerDigits[n]],
Print[n]], {n, 59500000}]

Crossrefs

Cf. A004086, A007954, A178271.

Sequence in context: A186217 A237411 A235980 * A203876 A378473 A233752

Adjacent sequences: A169803 A169804 A169805 * A169807 A169808 A169809

Keyword

base,nonn

Author

Farideh Firoozbakht, May 23 2010

Status

approved