A112624 - cp's OEIS frontend

A112624 If p^b(p,n) is the highest power of the prime p dividing n, then a(n) = Product_{p|n} b(p,n)!.

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	1
7	1
8	6
9	2
10	1
11	1
12	2
13	1
14	1
15	1
16	24
17	1
18	2
19	1
20	2
21	1
22	1
23	1
24	6
25	2
26	1
27	6
28	2
29	1
30	1
31	1
32	120
33	1
34	1
35	1
36	4
37	1
38	1
39	1
40	6
41	1
42	1
43	1
44	2
45	2
46	1
47	1
48	24
49	2
50	2
51	1
52	2
53	1
54	6
55	1
56	6
57	1
58	1
59	1
60	2
61	1
62	1
63	2
64	720
65	1
66	1
67	1
68	2
69	1
70	1
71	1
72	12
73	1
74	1
75	2
76	2
77	1
78	1
79	1
80	24
81	24
82	1
83	1
84	2
85	1
86	1
87	1
88	6
89	1
90	2
91	1
92	2
93	1
94	1
95	1
96	120
97	1
98	2
99	2
100	4
101	1

[1, 1, 1, 2, 1, 1, 1, 6, 2, 1, 1, 2, 1, 1, 1, 24, 1, 2, 1, 2, 1, 1, 1, 6, 2, 1, 6, 2, 1, 1, 1, 120, 1, 1, 1, 4, 1, 1, 1, 6, 1, 1, 1, 2, 2, 1, 1, 24, 2, 2, 1, 2, 1, 6, 1, 6, 1, 1, 1, 2, 1, 1, 2, 720, 1, 1, 1, 2, 1, 1, 1, 12, 1, 1, 2, 2, 1, 1, 1, 24, 24, 1, 1, 2, 1, 1, 1, 6, 1, 2, 1, 2, 1, 1, 1, 120, 1, 2, 2, 4, 1]

cp's OEIS Frontend

A112624 If p^b(p,n) is the highest power of the prime p dividing n, then a(n) = Product_{p|n} b(p,n)!.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	1
7	1
8	6
9	2
10	1
11	1
12	2
13	1
14	1
15	1
16	24
17	1
18	2
19	1
20	2
21	1
22	1
23	1
24	6
25	2
26	1
27	6
28	2
29	1
30	1
31	1
32	120
33	1
34	1
35	1
36	4
37	1
38	1
39	1
40	6
41	1
42	1
43	1
44	2
45	2
46	1
47	1
48	24
49	2
50	2
51	1
52	2
53	1
54	6
55	1
56	6
57	1
58	1
59	1
60	2
61	1
62	1
63	2
64	720
65	1
66	1
67	1
68	2
69	1
70	1
71	1
72	12
73	1
74	1
75	2
76	2
77	1
78	1
79	1
80	24
81	24
82	1
83	1
84	2
85	1
86	1
87	1
88	6
89	1
90	2
91	1
92	2
93	1
94	1
95	1
96	120
97	1
98	2
99	2
100	4
101	1

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	1
7	1
8	6
9	2
10	1
11	1
12	2
13	1
14	1
15	1
16	24
17	1
18	2
19	1
20	2
21	1
22	1
23	1
24	6
25	2
26	1
27	6
28	2
29	1
30	1
31	1
32	120
33	1
34	1
35	1
36	4
37	1
38	1
39	1
40	6
41	1
42	1
43	1
44	2
45	2
46	1
47	1
48	24
49	2
50	2
51	1
52	2
53	1
54	6
55	1
56	6
57	1
58	1
59	1
60	2
61	1
62	1
63	2
64	720
65	1
66	1
67	1
68	2
69	1
70	1
71	1
72	12
73	1
74	1
75	2
76	2
77	1
78	1
79	1
80	24
81	24
82	1
83	1
84	2
85	1
86	1
87	1
88	6
89	1
90	2
91	1
92	2
93	1
94	1
95	1
96	120
97	1
98	2
99	2
100	4
101	1

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	1
7	1
8	6
9	2
10	1
11	1
12	2
13	1
14	1
15	1
16	24
17	1
18	2
19	1
20	2
21	1
22	1
23	1
24	6
25	2
26	1
27	6
28	2
29	1
30	1
31	1
32	120
33	1
34	1
35	1
36	4
37	1
38	1
39	1
40	6
41	1
42	1
43	1
44	2
45	2
46	1
47	1
48	24
49	2
50	2
51	1
52	2
53	1
54	6
55	1
56	6
57	1
58	1
59	1
60	2
61	1
62	1
63	2
64	720
65	1
66	1
67	1
68	2
69	1
70	1
71	1
72	12
73	1
74	1
75	2
76	2
77	1
78	1
79	1
80	24
81	24
82	1
83	1
84	2
85	1
86	1
87	1
88	6
89	1
90	2
91	1
92	2
93	1
94	1
95	1
96	120
97	1
98	2
99	2
100	4
101	1