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# A Mathematical Challenge: The 3x+1 Problem

The $3x+1$ problem, or Collatz problem, concerns the following seemingly innocent arithmetic procedure applied to integers: If an integer $x$ is odd then ''multiply by three and add one'', while if it is even then ''divide by two''. The $3x+1$ problem asks whether, starting from any positive integer, repeating this procedure over and over will eventually reach the number 1

...moreHardcover, 344 pages

Published
January 14th 2011
by American Mathematical Society(RI)

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