A046150 Largest n-digit number with maximal multiplicative persistence A014553.

9, 77, 976, 8876, 98886, 997762, 9999996, 99988862, 999888621, 9998888773, 99988887731, 999888877311, 9998888773111, 99988887731111, 998888887777772, 9988888877777721, 99999999998777772, 999999999987777721, 9999999999877777211, 99999999998777772111

Offset

1,1

Comments

Since there exists no number < 10^233 with multiplicative persistence 12, a(n) = 99999999998777772 * 10^(n-17) + (10^(n-17)-1)/9 for 17 <= n < 233. - Sean A. Irvine, Apr 05 2021

Links

Table of n, a(n) for n=1..20.

Sean A. Irvine, Java program (github)

N. J. A. Sloane, The persistence of a number, J. Recreational Math., 6 (1973), 97-98.

Eric Weisstein's World of Mathematics, Multiplicative Persistence.

Crossrefs

Cf. A014553, A046148, A046149.

Sequence in context: A254659 A346847 A355372 * A124131 A000445 A046196

Adjacent sequences: A046147 A046148 A046149 * A046151 A046152 A046153

Keyword

nonn,base

Author

Eric W. Weisstein

Extensions

a(8)-a(18) from Donovan Johnson, Mar 30 2010

a(19)-a(20) from Sean A. Irvine, Apr 05 2021

Status

approved