# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a068183 Showing 1-1 of 1 %I A068183 #15 Dec 25 2015 21:42:14 %S A068183 2,32,3222,53222,5332222,75332222,75332222222,7533332222222, %T A068183 755333322222222 %N A068183 Largest number without decimal digits equal to 1 whose product of digits gives n!. %C A068183 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. %F A068183 a(n)=Max{x; f[x]=n!}, where x has no digit=1 and f[x_] := Apply[Times, IntegerDigits[x]]. %Y A068183 Cf. A000142, A001222, A002473, A067734, A068183-A068187, A068189-A068191. %K A068183 base,fini,nonn,full %O A068183 2,1 %A A068183 _Labos Elemer_, Feb 18 2002 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE