A299352 - cp's OEIS frontend

A299352 For x=n, iterate the map x -> Product_{k is a prime dividing x} (k + (multiplicity of k)), a(n) is the number of steps to see a repeated term for the first time.

n	a(n)
2	3
3	2
4	1
5	4
6	3
7	6
8	5
9	5
10	5
11	4
12	3
13	4
14	3
15	3
16	3
17	5
18	4
19	3
20	2
21	8
22	4
23	3
24	2
25	7
26	11
27	4
28	8
29	10
30	9
31	8
32	7
33	4
34	6
35	4
36	3
37	12
38	11
39	12
40	10
41	11
42	10
43	5
44	4
45	10
46	9
47	4
48	3
49	6
50	9
51	9
52	12
53	6
54	5
55	9
56	11
57	5
58	2
59	11
60	10
61	11
62	10
63	11
64	6
65	8
66	11
67	10
68	9
69	10
70	11
71	9
72	8
73	14
74	13
75	9
76	5
77	10
78	13
79	5
80	4

[3, 2, 1, 4, 3, 6, 5, 5, 5, 4, 3, 4, 3, 3, 3, 5, 4, 3, 2, 8, 4, 3, 2, 7, 11, 4, 8, 10, 9, 8, 7, 4, 6, 4, 3, 12, 11, 12, 10, 11, 10, 5, 4, 10, 9, 4, 3, 6, 9, 9, 12, 6, 5, 9, 11, 5, 2, 11, 10, 11, 10, 11, 6, 8, 11, 10, 9, 10, 11, 9, 8, 14, 13, 9, 5, 10, 13, 5, 4]

cp's OEIS Frontend

A299352 For x=n, iterate the map x -> Product_{k is a prime dividing x} (k + (multiplicity of k)), a(n) is the number of steps to see a repeated term for the first time.

Table of values

List of values

n	a(n)
2	3
3	2
4	1
5	4
6	3
7	6
8	5
9	5
10	5
11	4
12	3
13	4
14	3
15	3
16	3
17	5
18	4
19	3
20	2
21	8
22	4
23	3
24	2
25	7
26	11
27	4
28	8
29	10
30	9
31	8
32	7
33	4
34	6
35	4
36	3
37	12
38	11
39	12
40	10
41	11
42	10
43	5
44	4
45	10
46	9
47	4
48	3
49	6
50	9
51	9
52	12
53	6
54	5
55	9
56	11
57	5
58	2
59	11
60	10
61	11
62	10
63	11
64	6
65	8
66	11
67	10
68	9
69	10
70	11
71	9
72	8
73	14
74	13
75	9
76	5
77	10
78	13
79	5
80	4

n	a(n)
2	3
3	2
4	1
5	4
6	3
7	6
8	5
9	5
10	5
11	4
12	3
13	4
14	3
15	3
16	3
17	5
18	4
19	3
20	2
21	8
22	4
23	3
24	2
25	7
26	11
27	4
28	8
29	10
30	9
31	8
32	7
33	4
34	6
35	4
36	3
37	12
38	11
39	12
40	10
41	11
42	10
43	5
44	4
45	10
46	9
47	4
48	3
49	6
50	9
51	9
52	12
53	6
54	5
55	9
56	11
57	5
58	2
59	11
60	10
61	11
62	10
63	11
64	6
65	8
66	11
67	10
68	9
69	10
70	11
71	9
72	8
73	14
74	13
75	9
76	5
77	10
78	13
79	5
80	4

n	a(n)
2	3
3	2
4	1
5	4
6	3
7	6
8	5
9	5
10	5
11	4
12	3
13	4
14	3
15	3
16	3
17	5
18	4
19	3
20	2
21	8
22	4
23	3
24	2
25	7
26	11
27	4
28	8
29	10
30	9
31	8
32	7
33	4
34	6
35	4
36	3
37	12
38	11
39	12
40	10
41	11
42	10
43	5
44	4
45	10
46	9
47	4
48	3
49	6
50	9
51	9
52	12
53	6
54	5
55	9
56	11
57	5
58	2
59	11
60	10
61	11
62	10
63	11
64	6
65	8
66	11
67	10
68	9
69	10
70	11
71	9
72	8
73	14
74	13
75	9
76	5
77	10
78	13
79	5
80	4