Journal of Dali University ›› 2023, Vol. 8 ›› Issue (6): 9-13.

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Studying the 3X+1 Conjecture by Quaternary Numeral System

Wu Wenliang, Jiang Na, He Jiaying, Zhou Yangchuan   

  1. School of Physics and Information Engineering Zhaotong University Zhaotong Yunnan  657000 China
  • Received:2023-01-02 Revised:2022-12-14 Online:2023-06-15 Published:2023-06-26

Abstract:

In this paper we explore the 3X+1 conjecture by using quaternary numeral system and obtain some interesting results. The quaternary representation of an odd number that can be compressed and iterated into 1 through a finite number of 3X+1 conjectures consisting of a root prefix and suffix. The quaternary representation of lower iteration numbers determines the root prefix and suffix of higher iteration numbers.

Key words: font-family:", ">3X+1 conjecturefont-family:宋体, ">, font-family:", "> quaternary numeral systemfont-family:宋体, ">, font-family:", "> inverse operation

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