A046515 Numbers with multiplicative persistence value 6.

6788, 6878, 6887, 7688, 7868, 7886, 8678, 8687, 8768, 8786, 8867, 8876, 16788, 16878, 16887, 17688, 17868, 17886, 18678, 18687, 18768, 18786, 18867, 18876, 23788, 23878, 23887, 24678, 24687, 24768, 24786, 24867, 24876, 26478, 26487

Offset

1,1

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Eric Weisstein's World of Mathematics, Multiplicative Persistence

Example

6788 -> [ 2688 ][ 768 ][ 336 ][ 54 ][ 20 ][ 0 ] -> one digit in six steps.

Maple

mp:= proc(n) option remember;
    if n <= 9 then return 0 fi;
    1+procname(convert(convert(n, base, 10), `*`))
end proc:
select(mp=6, [$1..30000]); # Robert Israel, Feb 12 2019

Crossrefs

Cf. A003001, A014120, A046506.

Sequence in context: A200436 A250332 A121106 * A199996 A266847 A345592

Adjacent sequences: A046512 A046513 A046514 * A046516 A046517 A046518

Keyword

nonn,base

Author

Patrick De Geest, Sep 15 1998

Extensions

Offset corrected by Robert Israel, Feb 12 2019

Status

approved