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A372810 a(n) is the smallest number whose Collatz trajectory contains n, if trajectories do not terminate at 1 but continue to cycle through 1, 4, 2, 1, 4, 2, 1, ... .

Table of values

n a(n)
1 1
2 1
3 3
4 1
5 3
6 6
7 7
8 3
9 9
10 3
11 7
12 12
13 7
14 9
15 15
16 3
17 7
18 18
19 19
20 7
21 21
22 7
23 15
24 24
25 25
26 7
27 27
28 9
29 19
30 30
31 27
32 21
33 33
34 7
35 15
36 36
37 37
38 25
39 39
40 7
41 27
42 42
43 43
44 19
45 45
46 15
47 27
48 48
49 43
50 33
51 51
52 7
53 15
54 54
55 55
56 37
57 57
58 19
59 39
60 60
61 27
62 27
63 63
64 21
65 43
66 66
67 39
68 45
69 69
70 15
71 27

List of values

[1, 1, 3, 1, 3, 6, 7, 3, 9, 3, 7, 12, 7, 9, 15, 3, 7, 18, 19, 7, 21, 7, 15, 24, 25, 7, 27, 9, 19, 30, 27, 21, 33, 7, 15, 36, 37, 25, 39, 7, 27, 42, 43, 19, 45, 15, 27, 48, 43, 33, 51, 7, 15, 54, 55, 37, 57, 19, 39, 60, 27, 27, 63, 21, 43, 66, 39, 45, 69, 15, 27]