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Search: id:A003001
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| A003001 |
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Smallest number of persistence n.
(Formerly M4687)
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+0
42
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| 0, 10, 25, 39, 77, 679, 6788, 68889, 2677889, 26888999, 3778888999, 277777788888899
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Probably finite.
The persistence of a number (A031346) is the number of times you need to multiply the digits together before reaching a single digit.
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REFERENCES
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M. Gardner, Fractal Music, Hypercards and More, Freeman, NY, 1991, pp. 170, 186.
C. A. Pickover, Wonders of Numbers, "Persistence", Chapter 28, Oxford University Press NY 2001.
Clifford A. Pickover, A Passion for Mathematics, Wiley, 2005; see p. 66.
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LINKS
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W. Schneider, The Persistence of a Number [Broken link?]
Walter Schneider, The persistence of a Number, backup of html page.
N. J. A. Sloane, The persistence of a number, J. Recreational Math., 6 (1973), 97-98.
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
Wikipedia, Persistence of a number
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EXAMPLE
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E.g. 77 -> 49 -> 36 -> 18 -> 8 has persistence 4.
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CROSSREFS
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Cf. A031346 (persistence), A133500 (powertrain), A133048 (powerback).
Cf. A006050, A007954, A031286, A031347, A033908, A046511, etc.
Cf. A121105-A121111.
Adjacent sequences: A002998 A002999 A003000 this_sequence A003002 A003003 A003004
Sequence in context: A002600 A087473 A014120 this_sequence A038350 A003344 A047721
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KEYWORD
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nonn,fini,nice,base
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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