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 A014553 Maximal multiplicative persistence (or length) of any n-digit number. 5
 1, 4, 5, 6, 7, 7, 8, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The "persistence" or "length" of an N-digit decimal number is the number of times one must iteratively form the product of its digits until one obtains a one-digit product (For another definition see A003001.) For all other n<2530, a(n)=11 because sequence is nondecreasing and a number with multiplicative persistence 12 must have more than 2530 digits. - Sascha Kurz, Mar 24 2002 REFERENCES Gottlieb, A. J. Problems 28-29 in "Bridge, Group Theory and a Jigsaw Puzzle." Techn. Rev. 72, unpaginated, Dec. 1969. Gottlieb, A. J. Problem 29 in "Integral Solutions, Ladders and Pentagons." Techn. Rev. 72, unpaginated, Apr. 1970. LINKS Beeler, M., Gosper, R. W. and Schroeppel, R., HAKMEM, ITEM 56 N. J. A. Sloane, The persistence of a number, J. Recreational Math., 6 (1973), 97-98. Eric Weisstein's World of Mathematics, Multiplicative Persistence. EXAMPLE 168889 is not in A003001 because a(6) = a(5) = 7. CROSSREFS Cf. A003001, A031346, A035927. Sequence in context: A114546 A067471 A102691 * A227422 A121855 A239440 Adjacent sequences:  A014550 A014551 A014552 * A014554 A014555 A014556 KEYWORD nonn,easy,base AUTHOR EXTENSIONS Corrected by N. J. A. Sloane, Nov 1995 More terms from John W. Layman, Mar 19 2002 STATUS approved

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Last modified September 25 00:48 EDT 2020. Contains 337333 sequences. (Running on oeis4.)