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Moving the first digit of a positive integer to the last

Published online by Cambridge University Press:  01 August 2016

Peter A. Braza  and
Jingcheng Tong
Peter A. Braza
Affiliation:
Department of Mathematics and Statistics, University of North Florida, St John’s Bluff Road, Jacksonville, Florida, 32224-2645, USAPbraza@unf.edu
Jingcheng Tong
Affiliation:
Department of Mathematics and Statistics, University of North Florida, St John’s Bluff Road, Jacksonville, Florida, 32224-2645, USAPbraza@unf.edu
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Extract

Arithmetical properties of numbers have been a source of fascination for mathematics students and professionals throughout the ages. In this paper we consider a puzzle of sorts in which we move the first digit of a positive integer A to the last position and establish conditions under which A will be equal to a multiple of the new integer. For instance, if A equals 820512 then A = 4A’where A’ = 205128.

Type
Articles
Information
The Mathematical Gazette , Volume 83 , Issue 497 , July 1999 , pp. 216 - 220
Copyright
Copyright © The Mathematical Association 1999

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