来源:小编 更新:2025-01-14 02:22:17
用手机看
你有没有想过,数字的世界里藏着怎样的秘密?今天,我要带你探索一个充满魔力的数学游戏——任给网。这个游戏听起来简单,却蕴含着深奥的数学原理,让人不禁想一探究竟。
任给网,顾名思义,就是从一个正整数开始,按照特定的规则进行变换。这个规则是这样的:任给一个正整数n,如果n能被3整除,就将它变为n/3;如果除后不能再整除,则将它乘以3再加1。这个过程不断重复,最终会得到什么结果呢?
我们先从一位数开始尝试。比如,当N是一位数6时,按照规则应变为:6 → 6/3 → 2 → 2/3 → 1 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 → 1/3 →