Abstract
The Collatz conjecture (or 3n+1 problem) has been explored for about 86
years. In this article, we prove the Collatz conjecture. We will show that
this conjecture holds for all positive integers by applying the Collatz inverse
operation to the numbers that satisfy the rules of the Collatz conjecture. Finally, we will prove that there are no positive integers that do not satisfy this
conjecture.
Mathematics Subject Classification (2020): 11A25, 11A51, 11B50, 11B99.
Keywords: Collatz operation, Collatz inverse operation, Collatz numbers, Set theory.
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