Problem 55040. B-Zuckerman Numbers

Created by David Hill
Appears in Prime Numbers I

Difficulty:Rate

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Similar to my last problem (B_Harshad Numbers), B-Zuckerman Numbers are numbers that are divisable by the product of their digits when the numbers are written in base-B. Find and output all the B-Zuckerman numbers from an input listing of decimal numbers for a given base-B.

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Last Solution submitted on Jul 13, 2022

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William on 13 Jul 2022

In test #1, why are 1, 2, 4 and 8 not considered B-Zuckerman numbers in base-3? For example, 8 is 22 (base-3) and 2*2 = 4.

David Hill on 13 Jul 2022

You are absolutely correct. My algorithm was incorrect. Problem should now be fixed.

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Problem 55040. B-Zuckerman Numbers

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Problem 55040. B-Zuckerman Numbers

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Last 200 Solutions

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Solution Comments

Problem Recent Solvers3

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More from this Author56

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