login
A342593
Numbers m that are not the quotient of a Zuckerman number divided by the product of its digits.
4
10, 15, 16, 20, 24, 25, 26, 30, 32, 35, 38, 39, 40, 42, 43, 47, 50, 54, 55, 58, 60, 62, 65, 70, 71, 73, 75, 78, 80, 85, 87, 90, 92, 95, 99, 100, 105, 107, 108, 110, 115, 116, 117, 119, 120, 123, 125, 127, 130, 131, 135, 137, 138, 139, 140, 141, 142, 145, 146, 147, 150, 155
OFFSET
1,1
COMMENTS
The Zuckerman numbers (A007602) are the numbers that are divisible by the product of their digits (see link).
m is a term iff A056770(m) = 0.
All the multiples of 10 are terms.
Many numbers that end with 5 are terms, first exceptions < 1000: 5, 45, 255, 315, 505, ...
LINKS
Giovanni Resta, Zuckerman numbers, Numbers Aplenty.
CROSSREFS
Cf. A003635 (similar for Niven numbers).
Sequence in context: A164865 A253594 A330698 * A046424 A076226 A122435
KEYWORD
nonn,base
AUTHOR
Bernard Schott, Mar 16 2021
STATUS
approved