# Definition:Zuckerman Number

## Definition

A Zuckerman number is a positive integer which is divisible by the product of its digits.

### Sequence

The sequence of Zuckerman numbers begins:

$1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 15, 24, 36, 111, 112, 115, 128, 132, 135, 144, 175, 212, 216, \ldots$

## Also see

• Results about Zuckerman numbers can be found here.

## Source of Name

This entry was named for Herbert Samuel Zuckerman.