A137603 Numbers m such that product of factorials of digits of m equals sigma(m).

1, 14, 1253, 2261, 2622, 13145, 13630, 20146, 24035, 30362, 31416, 42504, 50424, 63240, 112281, 117124, 126005, 150360, 161160, 225153, 252126, 262105, 318021, 341630, 510632, 611523, 723104, 1071521, 1131190, 1153262, 1200626, 1242108

Offset: 1

Author

Farideh Firoozbakht, Apr 11 2008

Keywords

• easy
• nonn
• base
• less

Examples

			sigma(10230248)=1!*0!*2!*3!*0!*2!*4!*8! so 10230248 is in the sequence.
		

Links

• Giovanni Resta, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A066457, A066459, A000203.

Programs

Mathematica

Select[Range[1250000],Times@@(IntegerDigits[#]!)==DivisorSigma[1,#]&] (* James C. McMahon, Jun 01 2025 *)