The Collatz Problem in the Light of an Infinite Free Semigroup

Table 4

Target cycles for 16 million start numbers under the 3𝑚−1 rule. There are 1 million odd start numbers covered by each row.

Start numbers		Ending in target cycle
From	To	𝑇	𝑆	𝐴
1	1999999	326900	324736	348364
2000001	3999999	326884	325061	348055
4000001	5999999	326520	325316	348164
6000001	7999999	326839	324933	348228
8000001	9999999	328911	323103	347986
10000001	11999999	324452	327260	348288
12000001	13999999	331941	320774	347285
14000001	15999999	321108	329481	349411
16000001	17999999	326177	326204	347619
18000001	19999999	330078	320150	349772
20000001	21999999	331659	328492	339849
22000001	23999999	317217	326425	356358
24000001	25999999	331616	328452	339932
26000001	27999999	331690	310810	357500
28000001	29999999	319822	330211	349967
30000001	31999999	322737	329915	347348

𝑇 : trivial cycle;  𝑆: simple cycle;  𝐴: amazing cycle.