A348733 - cp's OEIS frontend

A348733 a(n) = gcd(A003959(n), A034448(n)), where A003959 is multiplicative with a(p^e) = (p+1)^e and A034448 (usigma) is multiplicative with a(p^e) = (p^e)+1.

n	a(n)
1	1
2	3
3	4
4	1
5	6
6	12
7	8
8	9
9	2
10	18
11	12
12	4
13	14
14	24
15	24
16	1
17	18
18	6
19	20
20	6
21	32
22	36
23	24
24	36
25	2
26	42
27	4
28	8
29	30
30	72
31	32
32	3
33	48
34	54
35	48
36	2
37	38
38	60
39	56
40	54
41	42
42	96
43	44
44	12
45	12
46	72
47	48
48	4
49	2
50	6
51	72
52	14
53	54
54	12
55	72
56	72
57	80
58	90
59	60
60	24
61	62
62	96
63	16
64	1
65	84
66	144
67	68
68	18
69	96
70	144
71	72
72	18
73	74
74	114
75	8
76	20
77	96
78	168
79	80
80	6
81	2
82	126
83	84
84	32

[1, 3, 4, 1, 6, 12, 8, 9, 2, 18, 12, 4, 14, 24, 24, 1, 18, 6, 20, 6, 32, 36, 24, 36, 2, 42, 4, 8, 30, 72, 32, 3, 48, 54, 48, 2, 38, 60, 56, 54, 42, 96, 44, 12, 12, 72, 48, 4, 2, 6, 72, 14, 54, 12, 72, 72, 80, 90, 60, 24, 62, 96, 16, 1, 84, 144, 68, 18, 96, 144, 72, 18, 74, 114, 8, 20, 96, 168, 80, 6, 2, 126, 84, 32]

cp's OEIS Frontend

A348733 a(n) = gcd(A003959(n), A034448(n)), where A003959 is multiplicative with a(p^e) = (p+1)^e and A034448 (usigma) is multiplicative with a(p^e) = (p^e)+1.

Table of values

List of values

n	a(n)
1	1
2	3
3	4
4	1
5	6
6	12
7	8
8	9
9	2
10	18
11	12
12	4
13	14
14	24
15	24
16	1
17	18
18	6
19	20
20	6
21	32
22	36
23	24
24	36
25	2
26	42
27	4
28	8
29	30
30	72
31	32
32	3
33	48
34	54
35	48
36	2
37	38
38	60
39	56
40	54
41	42
42	96
43	44
44	12
45	12
46	72
47	48
48	4
49	2
50	6
51	72
52	14
53	54
54	12
55	72
56	72
57	80
58	90
59	60
60	24
61	62
62	96
63	16
64	1
65	84
66	144
67	68
68	18
69	96
70	144
71	72
72	18
73	74
74	114
75	8
76	20
77	96
78	168
79	80
80	6
81	2
82	126
83	84
84	32

n	a(n)
1	1
2	3
3	4
4	1
5	6
6	12
7	8
8	9
9	2
10	18
11	12
12	4
13	14
14	24
15	24
16	1
17	18
18	6
19	20
20	6
21	32
22	36
23	24
24	36
25	2
26	42
27	4
28	8
29	30
30	72
31	32
32	3
33	48
34	54
35	48
36	2
37	38
38	60
39	56
40	54
41	42
42	96
43	44
44	12
45	12
46	72
47	48
48	4
49	2
50	6
51	72
52	14
53	54
54	12
55	72
56	72
57	80
58	90
59	60
60	24
61	62
62	96
63	16
64	1
65	84
66	144
67	68
68	18
69	96
70	144
71	72
72	18
73	74
74	114
75	8
76	20
77	96
78	168
79	80
80	6
81	2
82	126
83	84
84	32

n	a(n)
1	1
2	3
3	4
4	1
5	6
6	12
7	8
8	9
9	2
10	18
11	12
12	4
13	14
14	24
15	24
16	1
17	18
18	6
19	20
20	6
21	32
22	36
23	24
24	36
25	2
26	42
27	4
28	8
29	30
30	72
31	32
32	3
33	48
34	54
35	48
36	2
37	38
38	60
39	56
40	54
41	42
42	96
43	44
44	12
45	12
46	72
47	48
48	4
49	2
50	6
51	72
52	14
53	54
54	12
55	72
56	72
57	80
58	90
59	60
60	24
61	62
62	96
63	16
64	1
65	84
66	144
67	68
68	18
69	96
70	144
71	72
72	18
73	74
74	114
75	8
76	20
77	96
78	168
79	80
80	6
81	2
82	126
83	84
84	32