An Interesting Number Cycle that takes Two Consecutive Integers (a, b) and One Third Integer (c), and with any c, it Always Returns a or b

Mohammadreza Barghi

Abstract: In this paper, I introduce an interesting numbercycle that takes two consecutive integers and one third integers and after repeating multiple operations on them including adding and dividing operations, returns one of the two consecutive integers. This cycle always is true for all the integers and no matter which integers are chosen for this number cycle.

Keywords: number theory, integer, numerical, collatz