Collatz mapping on Z/10Z

Abstract

We introduce the Collatz conjecture and its history. Some definition that this conjecture has, will be expressed and with these we try to explain some good lemma to justify the main properties of the Collatz conjecture. With these lemmas a situation made to go through to write some mainly properties of Collatz graph on Z/10Z. Then with something provided it will go to draw the graph on Z/10Z.

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