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

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

Offset: 1

Author

Eric W. Weisstein

Keywords

• nonn
• base

Comments

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

Links

• 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, A046150.

Extensions

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