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A046517
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Numbers with multiplicative persistence value 8.
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2
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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)
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OFFSET
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0,1
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LINKS
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Table of n, a(n) for n=0..23.
Eric Weisstein's World of Mathematics, Multiplicative Persistence
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EXAMPLE
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2677889 -> [ 338688 ][ 27648 ][ 2688 ][ 768 ][ 336 ][ 54 ][ 20 ][ 0 ] -> one digit in eight steps.
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MATHEMATICA
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okQ[n_]:=Length[NestWhileList[Times@@IntegerDigits[#]&, n, IntegerLength[#]>1&]]==9; Select[Range[2700000], okQ] [From Harvey P. Dale, Jan 29 2011]
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CROSSREFS
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Cf. A003001, A014120, A046508.
Sequence in context: A151513 A147712 A121108 * A199998 A046508 A178291
Adjacent sequences: A046514 A046515 A046516 * A046518 A046519 A046520
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KEYWORD
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nonn,base
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AUTHOR
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Patrick De Geest, Sep 15 1998.
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STATUS
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approved
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