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Digits, Squares, and Cycles

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Author:Ivars Peterson (MathTrek)
Description: Fascinating patterns lurk among the digits of whole numbers. Pick a positive integer, such as 57. Square each of the digits, then add the squares together: 5^2 + 7^2 = 25 + 49 = 74. Do the same thing with the digits of 74: 7^2 + 4^2 = 49 + 16 = 65. Keep repeating the procedure, using successive sums of squares...

Levels: Middle School (6-8), High School (9-12), College
Languages: English
Resource Types: Articles
Math Topics: Sequences and Sets

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