Zuckerman number
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A Zuckerman number is an integer that is divisible by the product of its digits in a given number base. Or, to put it algebraically, given a positive integer n with m digits dx (with x < m + 1) in base b, if it's true that
then n is a Zuckerman number. All integers between 1 and the base number are Zuckerman numbers. No integer with a zero as one or more of its digits in base b can be a Zuckerman number in that base.
In base 10, the first few Zuckerman numbers with more than one digit are
These are listed in (sequence A007602 in OEIS).
[edit] Reference
- J. J. Tattersall, Elementary number theory in nine chapters, p. 86. Cambridge: Cambridge University Press (2005)
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