A068183 Largest number without decimal digits equal to 1 whose product of digits gives n!.

2, 32, 3222, 53222, 5332222, 75332222, 75332222222, 7533332222222, 755333322222222

Offset: 2

Author

Labos Elemer, Feb 18 2002

Keywords

• base
• fini
• nonn
• full

Comments

Maximal solutions are obtained from the concatenation of distinct prime factors that have one decimal digit. The sequence is finite because, for n>10, n! has 2-digit prime factors.

Crossrefs

Cf. A000142, A001222, A002473, A067734, A068183-A068187, A068189-A068191.

Formula

a(n)=Max{x; f[x]=n!}, where x has no digit=1 and f[x_] := Apply[Times, IntegerDigits[x]].