用四进制数研究3X+1猜想  

Studying the 3X+1 Conjecture by Quaternary Numeral System

作　　者：吴文良 姜娜 何佳颖 周杨川 Wu Wenliang;Jiang Na;He Jiaying;Zhou Yangchuan(School of Physics and Information Engineering,Zhaotong University,Zhaotong,Yunnan 657000,China)

机构地区：[1]昭通学院物理与信息工程学院,云南昭通657000

出　　处：《大理大学学报》2023年第6期9-13,共5页Journal of Dali University

摘　　要：用四进制数研究3X+1猜想,得到一些有趣的结果:一个可以经有限次3X+1猜想的压缩迭代成为1的奇数的四进制表示由词根、前缀和后缀构成,较低次数迭代的四进制数决定了较高迭代次数的四进制表示的词根、前缀和后缀。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.

关 键 词：3X+1猜想 四进制数 逆运算 

分 类 号：O156.1[理学—数学]