A292286 - cp's OEIS frontend

A292286 a(n) = k if the product of the divisors of n is n^k for some integer k, or -1 if no such k exists. For the ambiguous case, define a(1) = 0.

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

[0, 1, 1, -1, 1, 2, 1, 2, -1, 2, 1, 3, 1, 2, 2, -1, 1, 3, 1, 3, 2, 2, 1, 4, -1, 2, 2, 3, 1, 4, 1, 3, 2, 2, 2, -1, 1, 2, 2, 4, 1, 4, 1, 3, 3, 2, 1, 5, -1, 3, 2, 3, 1, 4, 2, 4, 2, 2, 1, 6, 1, 2, 3, -1, 2, 4, 1, 3, 2, 4, 1, 6, 1, 2, 3, 3, 2, 4, 1, 5, -1, 2, 1, 6, 2, 2, 2, 4, 1, 6, 2, 3, 2, 2, 2, 6, 1, 3, 3, -1]

cp's OEIS Frontend

A292286 a(n) = k if the product of the divisors of n is n^k for some integer k, or -1 if no such k exists. For the ambiguous case, define a(1) = 0.

Table of values

List of values

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

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

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