3X-1问题的若干结果

Some Results of the 3X-1 Problem

考虑在角谷变换G下,将全体正奇数N1进行分类,得到正奇数N1的在G变换下的若干性质.进一步考虑大角谷变换G*,发现N1在G变换下的黑洞{5,7}成为N1在G*变换下的不动点{5},且此外别无不动点.

Classifying all positive odd numbers under Kakutani transformation G, some properties were obtained. Through the great Kakutani transformation G^＊ , we fonnd that the black - hole 15,71 under Kakutani transformation G became a fixed paint under G^＊ . There is no other fixed paints under G^＊ .