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

2,1

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.

Links

Table of n, a(n) for n=2..10.

Formula

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

Crossrefs

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

Sequence in context: A093584 A117259 A234365 * A166077 A053853 A018241

Adjacent sequences: A068180 A068181 A068182 * A068184 A068185 A068186

Keyword

base,fini,nonn,full

Author

Labos Elemer, Feb 18 2002

Status

approved