A161347 Numbers which are equal to the product of their digits plus the sum of the cubes of their own digits.

31, 370, 407, 952

Offset

1,1

Comments

No terms exist beyond 952. For all k > 4999, the product of k's digits plus the sum of the cubes of k's digits is less than k. - Jon E. Schoenfield, Jun 14 2009

Links

Table of n, a(n) for n=1..4.

Example

31 = (3*1) + 3^3 + 1^3.

Mathematica

pscQ[n_]:=Module[{idn=IntegerDigits[n]}, Times@@idn+Total[idn^3]==n]; Select[Range[1000], pscQ] (* Harvey P. Dale, Aug 17 2014 *)

Crossrefs

Sequence in context: A125419 A138440 A307008 * A107941 A142684 A042868

Adjacent sequences: A161344 A161345 A161346 * A161348 A161349 A161350

Keyword

nonn,base,fini,full

Author

Claudio Meller, Jun 07 2009

Status

approved