A046148 -id:A046148 - cp's OEIS frontend

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

Eric W. Weisstein

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

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.

Cf. A014553, A046148, A046149.

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

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

A046149 Smallest n-digit number with maximal multiplicative persistence A014553.

Original entry on oeis.org

0, 77, 679, 6788, 68889, 168889, 2677889, 26888999, 126888999, 3778888999, 13778888999, 113778888999, 1113778888999, 11113778888999, 277777788888899, 1277777788888899, 11277777788888899, 111277777788888899

Offset: 1

Eric W. Weisstein

Since there exists no number k <= 10^200 with multiplicative persistence 12, a(n) = (10^(n-15)-1)/9*10^15 + 277777788888899 for 15 <= n <= 200. - A.H.M. Smeets, Sep 18 2018

N. J. A. Sloane, The persistence of a number, J. Recreational Math., 6 (1973), 97-98.
Eric Weisstein's World of Mathematics, Multiplicative Persistence.

Cf. A014553, A046148, A046150.

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

cp's OEIS Frontend

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

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