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A121111
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Trajectory of 277777788888899 under "x -> product of digits of x" map.
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1
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277777788888899, 4996238671872, 438939648, 4478976, 338688, 27648, 2688, 768, 336, 54, 20, 0
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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COMMENTS
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This is the smallest number of persistence 11 (cf. A003001). It is conjectured that no number has persistence greater than 11.
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LINKS
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FORMULA
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MATHEMATICA
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NestWhileList[Times@@IntegerDigits[#]&, 277777788888899, #>0&] (* Harvey P. Dale, Nov 25 2022 *)
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CROSSREFS
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KEYWORD
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nonn,fini,full,base
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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