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A068184
Smallest number whose product of digits equals n!.
3
1, 1, 2, 6, 38, 358, 2589, 25789, 257889, 2578879, 45578899
OFFSET
0,3
COMMENTS
The sequence is finite because n! for n>10 has 2-digit prime factors.
EXAMPLE
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.
KEYWORD
base,fini,nonn,full
AUTHOR
Labos Elemer, Feb 18 2002
EXTENSIONS
Edited by Henry Bottomley, Feb 26 2002
STATUS
approved