Problem 55040. B-Zuckerman Numbers

Created by David Hill

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<div style = "text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; "><div style="block-size: 63px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 31.5px; transform-origin: 407px 31.5px; vertical-align: baseline; "><div style="font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">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.</span></span></div></div></div>

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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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