用四进制数研究3X+1猜想

Studying the 3X+1 Conjecture by Quaternary Numeral System

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.