A328612 - cp's OEIS frontend

A328612 Starting with m = 1, p = 2 and x = n, iterate m -> m * p^valuation(x,p), x -> floor(x/p), p -> {next prime after p}, until x is zero. Then a(n) = {the value of m at the end of iteration}.

n	a(n)
0	1
1	1
2	2
3	1
4	4
5	1
6	6
7	3
8	8
9	1
10	2
11	1
12	12
13	3
14	2
15	1
16	16
17	1
18	18
19	9
20	4
21	1
22	2
23	1
24	24
25	3
26	2
27	1
28	4
29	1
30	30
31	15
32	160
33	5
34	10
35	5
36	36
37	9
38	2
39	1
40	8
41	1
42	6
43	3
44	4
45	1
46	2
47	1
48	48
49	3
50	2
51	1
52	4
53	1
54	54
55	27
56	8
57	1
58	2
59	1
60	60
61	15
62	10
63	5
64	320
65	5
66	6
67	3
68	4
69	1
70	2
71	1
72	72
73	9
74	2
75	1
76	4
77	1
78	6
79	3
80	16
81	1
82	2
83	1
84	12
85	3
86	2
87	1
88	8
89	1
90	90
91	45
92	20
93	5
94	10
95	5
96	96
97	3
98	2
99	1
100	4
101	1
102	6
103	3
104	8
105	1

[1, 1, 2, 1, 4, 1, 6, 3, 8, 1, 2, 1, 12, 3, 2, 1, 16, 1, 18, 9, 4, 1, 2, 1, 24, 3, 2, 1, 4, 1, 30, 15, 160, 5, 10, 5, 36, 9, 2, 1, 8, 1, 6, 3, 4, 1, 2, 1, 48, 3, 2, 1, 4, 1, 54, 27, 8, 1, 2, 1, 60, 15, 10, 5, 320, 5, 6, 3, 4, 1, 2, 1, 72, 9, 2, 1, 4, 1, 6, 3, 16, 1, 2, 1, 12, 3, 2, 1, 8, 1, 90, 45, 20, 5, 10, 5, 96, 3, 2, 1, 4, 1, 6, 3, 8, 1]

cp's OEIS Frontend

A328612 Starting with m = 1, p = 2 and x = n, iterate m -> m * p^valuation(x,p), x -> floor(x/p), p -> {next prime after p}, until x is zero. Then a(n) = {the value of m at the end of iteration}.

Table of values

List of values

n	a(n)
0	1
1	1
2	2
3	1
4	4
5	1
6	6
7	3
8	8
9	1
10	2
11	1
12	12
13	3
14	2
15	1
16	16
17	1
18	18
19	9
20	4
21	1
22	2
23	1
24	24
25	3
26	2
27	1
28	4
29	1
30	30
31	15
32	160
33	5
34	10
35	5
36	36
37	9
38	2
39	1
40	8
41	1
42	6
43	3
44	4
45	1
46	2
47	1
48	48
49	3
50	2
51	1
52	4
53	1
54	54
55	27
56	8
57	1
58	2
59	1
60	60
61	15
62	10
63	5
64	320
65	5
66	6
67	3
68	4
69	1
70	2
71	1
72	72
73	9
74	2
75	1
76	4
77	1
78	6
79	3
80	16
81	1
82	2
83	1
84	12
85	3
86	2
87	1
88	8
89	1
90	90
91	45
92	20
93	5
94	10
95	5
96	96
97	3
98	2
99	1
100	4
101	1
102	6
103	3
104	8
105	1

n	a(n)
0	1
1	1
2	2
3	1
4	4
5	1
6	6
7	3
8	8
9	1
10	2
11	1
12	12
13	3
14	2
15	1
16	16
17	1
18	18
19	9
20	4
21	1
22	2
23	1
24	24
25	3
26	2
27	1
28	4
29	1
30	30
31	15
32	160
33	5
34	10
35	5
36	36
37	9
38	2
39	1
40	8
41	1
42	6
43	3
44	4
45	1
46	2
47	1
48	48
49	3
50	2
51	1
52	4
53	1
54	54
55	27
56	8
57	1
58	2
59	1
60	60
61	15
62	10
63	5
64	320
65	5
66	6
67	3
68	4
69	1
70	2
71	1
72	72
73	9
74	2
75	1
76	4
77	1
78	6
79	3
80	16
81	1
82	2
83	1
84	12
85	3
86	2
87	1
88	8
89	1
90	90
91	45
92	20
93	5
94	10
95	5
96	96
97	3
98	2
99	1
100	4
101	1
102	6
103	3
104	8
105	1

n	a(n)
0	1
1	1
2	2
3	1
4	4
5	1
6	6
7	3
8	8
9	1
10	2
11	1
12	12
13	3
14	2
15	1
16	16
17	1
18	18
19	9
20	4
21	1
22	2
23	1
24	24
25	3
26	2
27	1
28	4
29	1
30	30
31	15
32	160
33	5
34	10
35	5
36	36
37	9
38	2
39	1
40	8
41	1
42	6
43	3
44	4
45	1
46	2
47	1
48	48
49	3
50	2
51	1
52	4
53	1
54	54
55	27
56	8
57	1
58	2
59	1
60	60
61	15
62	10
63	5
64	320
65	5
66	6
67	3
68	4
69	1
70	2
71	1
72	72
73	9
74	2
75	1
76	4
77	1
78	6
79	3
80	16
81	1
82	2
83	1
84	12
85	3
86	2
87	1
88	8
89	1
90	90
91	45
92	20
93	5
94	10
95	5
96	96
97	3
98	2
99	1
100	4
101	1
102	6
103	3
104	8
105	1