A068183 - OEIS

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A068183

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

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

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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