洛萨
科拉茨
Collatz,
是德国数学家,他在1937年提出了一个著名的猜想:任给一个正整数n,如果n是偶数,就将它减半
即
;如果n是奇数,则将它乘3加
即
,不断重复这样的运算,经过有限步后,一定可以得到
如初始正整数为6,按照上述变换规则,我们得到一个数列:6,3,10,5,16,8,4,2,
对科拉茨
猜想,目前谁也不能证明,更不能否定
现在请你研究:如果对正整数
首项
按照上述规则施行变换
注:1可以多次出现
后的第八项为1,则n的所有可能的取值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c97ec04a1aa7ac6fce72d589864940a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65bb06dee19ea3f950f00e6ee86d80a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5953c622eb7cbeba4b516dc55212fc4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06807c1ea9ed36d9a36b039ec9dcd418.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c7c407151a8fa5697b2f67a11f55ed1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64e96a287bf2dd9e60ae12bb440500ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b392e5dcb094fb27ea7b5d9fa3a89f48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b392e5dcb094fb27ea7b5d9fa3a89f48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65bb06dee19ea3f950f00e6ee86d80a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42c19e9fe7138a88415ed41ffbdd90c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/890846520f7533df0656871c52c672c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
更新时间:2019-02-18 10:33:49
|
相似题推荐
填空题-单空题
|
适中
(0.65)
解题方法
【推荐1】已知函数
,若
,
,
,则
在
上的最大值为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abaf7c253306f9dbcf43679534e23a79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9ab7bb40f58f28c9799b20f91d15d33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/693500a9e10e314b42d0af9352fc06ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/586a75e625280224cca9d67e4af7ce25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304226ca50149b49702928e44d565964.png)
您最近一年使用:0次
填空题-单空题
|
适中
(0.65)
名校
【推荐2】如图所示,有三根和套在一根针上的
片且自上而下由小到大的金属片.按下列规则,把金属片从一根针上全部移到另一根上,每次只能移动一个金属片,且在移动过程中较大的金属片不能放在较小的金属片的上面.则把
个金属片从
号针全部移到
号针,最少要_ 次.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/20/ee2ce012-c658-4c52-b887-bb02eacfdcf0.png?resizew=203)
您最近一年使用:0次