A096867 Records in A068189 (smallest number k such that n = product of nonzero digits of k, or 0 if no such k exists).

1, 2, 3, 4, 5, 6, 7, 8, 9, 25, 26, 27, 35, 45, 55, 56, 57, 58, 67, 68, 77, 255, 256, 257, 355, 455, 555, 556, 557, 558, 567, 568, 577, 2555, 2556, 2557, 3555, 4555, 5555, 5556, 5557, 5558, 5567, 5568, 5577, 25555, 25556, 25557, 35555, 45555, 55555, 55556

Offset: 1

Author

Klaus Brockhaus, Jul 13 2004

Keywords

• nonn
• base

Comments

Numbers n such that A068189(n) is a record are given in A096868.

Also records in A280249. - David A. Corneth, Apr 08 2021

Examples

			Product of nonzero digits of 257 is 70, for n < 70 the smallest number k such that n = product of nonzero digits of k (or 0 if no such k exists) is at most 256, hence 257 is a record.
		

Links

• David A. Corneth, Table of n, a(n) for n = 1..1707 (terms < 10^100)

Crossrefs

Cf. A068189, A096868, A280249.

Extensions

Incorrect formula removed by David A. Corneth, Apr 10 2021