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A046517 Numbers with multiplicative persistence value 8. 2
2677889, 2677898, 2677988, 2678789, 2678798, 2678879, 2678897, 2678978, 2678987, 2679788, 2679878, 2679887, 2687789, 2687798, 2687879, 2687897, 2687978, 2687987, 2688779, 2688797, 2688977, 2689778, 2689787, 2689877 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..23.

Eric Weisstein's World of Mathematics, Multiplicative Persistence

EXAMPLE

2677889 -> [ 338688 ][ 27648 ][ 2688 ][ 768 ][ 336 ][ 54 ][ 20 ][ 0 ] -> one digit in eight steps.

MATHEMATICA

okQ[n_]:=Length[NestWhileList[Times@@IntegerDigits[#]&, n, IntegerLength[#]>1&]]==9; Select[Range[2700000], okQ]  [From Harvey P. Dale, Jan 29 2011]

CROSSREFS

Cf. A003001, A014120, A046508.

Sequence in context: A147712 A250840 A121108 * A199998 A046508 A251457

Adjacent sequences:  A046514 A046515 A046516 * A046518 A046519 A046520

KEYWORD

nonn,base

AUTHOR

Patrick De Geest, Sep 15 1998.

STATUS

approved

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Last modified December 22 15:15 EST 2014. Contains 252364 sequences.