A324122 - cp's OEIS frontend

A324122 a(n) = sigma(n) - gcd(n*d(n), sigma(n)), where d(n) = number of divisors of n (A000005) and sigma(n) = sum of divisors of n (A000203).

n	a(n)
1	0
2	2
3	2
4	6
5	4
6	0
7	6
8	14
9	12
10	16
11	10
12	24
13	12
14	16
15	12
16	30
17	16
18	36
19	18
20	36
21	28
22	32
23	22
24	48
25	30
26	40
27	36
28	0
29	28
30	48
31	30
32	60
33	36
34	52
35	44
36	90
37	36
38	56
39	52
40	80
41	40
42	48
43	42
44	72
45	72
46	64
47	46
48	120
49	54
50	90
51	60
52	96
53	52
54	96
55	68
56	112
57	76
58	88
59	58
60	144
61	60
62	88
63	102
64	126
65	80
66	96
67	66
68	120
69	84
70	128
71	70
72	192
73	72
74	112
75	122
76	136
77	92
78	144
79	78
80	184
81	120
82	124
83	82

[0, 2, 2, 6, 4, 0, 6, 14, 12, 16, 10, 24, 12, 16, 12, 30, 16, 36, 18, 36, 28, 32, 22, 48, 30, 40, 36, 0, 28, 48, 30, 60, 36, 52, 44, 90, 36, 56, 52, 80, 40, 48, 42, 72, 72, 64, 46, 120, 54, 90, 60, 96, 52, 96, 68, 112, 76, 88, 58, 144, 60, 88, 102, 126, 80, 96, 66, 120, 84, 128, 70, 192, 72, 112, 122, 136, 92, 144, 78, 184, 120, 124, 82]

cp's OEIS Frontend

A324122 a(n) = sigma(n) - gcd(n*d(n), sigma(n)), where d(n) = number of divisors of n (A000005) and sigma(n) = sum of divisors of n (A000203).

Table of values

List of values

n	a(n)
1	0
2	2
3	2
4	6
5	4
6	0
7	6
8	14
9	12
10	16
11	10
12	24
13	12
14	16
15	12
16	30
17	16
18	36
19	18
20	36
21	28
22	32
23	22
24	48
25	30
26	40
27	36
28	0
29	28
30	48
31	30
32	60
33	36
34	52
35	44
36	90
37	36
38	56
39	52
40	80
41	40
42	48
43	42
44	72
45	72
46	64
47	46
48	120
49	54
50	90
51	60
52	96
53	52
54	96
55	68
56	112
57	76
58	88
59	58
60	144
61	60
62	88
63	102
64	126
65	80
66	96
67	66
68	120
69	84
70	128
71	70
72	192
73	72
74	112
75	122
76	136
77	92
78	144
79	78
80	184
81	120
82	124
83	82

n	a(n)
1	0
2	2
3	2
4	6
5	4
6	0
7	6
8	14
9	12
10	16
11	10
12	24
13	12
14	16
15	12
16	30
17	16
18	36
19	18
20	36
21	28
22	32
23	22
24	48
25	30
26	40
27	36
28	0
29	28
30	48
31	30
32	60
33	36
34	52
35	44
36	90
37	36
38	56
39	52
40	80
41	40
42	48
43	42
44	72
45	72
46	64
47	46
48	120
49	54
50	90
51	60
52	96
53	52
54	96
55	68
56	112
57	76
58	88
59	58
60	144
61	60
62	88
63	102
64	126
65	80
66	96
67	66
68	120
69	84
70	128
71	70
72	192
73	72
74	112
75	122
76	136
77	92
78	144
79	78
80	184
81	120
82	124
83	82

n	a(n)
1	0
2	2
3	2
4	6
5	4
6	0
7	6
8	14
9	12
10	16
11	10
12	24
13	12
14	16
15	12
16	30
17	16
18	36
19	18
20	36
21	28
22	32
23	22
24	48
25	30
26	40
27	36
28	0
29	28
30	48
31	30
32	60
33	36
34	52
35	44
36	90
37	36
38	56
39	52
40	80
41	40
42	48
43	42
44	72
45	72
46	64
47	46
48	120
49	54
50	90
51	60
52	96
53	52
54	96
55	68
56	112
57	76
58	88
59	58
60	144
61	60
62	88
63	102
64	126
65	80
66	96
67	66
68	120
69	84
70	128
71	70
72	192
73	72
74	112
75	122
76	136
77	92
78	144
79	78
80	184
81	120
82	124
83	82