A068184 Smallest number whose product of digits equals n!.

1, 1, 2, 6, 38, 358, 2589, 25789, 257889, 2578879, 45578899

Offset: 0

Author

Labos Elemer, Feb 18 2002

Keywords

• base
• fini
• nonn
• full

Comments

The sequence is finite because n! for n>10 has 2-digit prime factors.

Examples

			For n=4 the solutions having digit products equal 24 excluding those with digit 1 are: {38, 46, 64, 83, 226, 234, 243, 262, 324, 342, 423, 432, 622, 2223, 2232, 2322, 3222} of which the smallest is 38. For n>1, numbers with a digit 1 are too big.
		

Crossrefs

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

Extensions

Edited by Henry Bottomley, Feb 26 2002