A353783 - cp's OEIS frontend

A353783 a(n) = LCM_{p^e||n} sigma(p^e), where n = Product_{p^e||n}, with each p^e the maximal power of prime p that divides n.

n	a(n)
1	1
2	3
3	4
4	7
5	6
6	12
7	8
8	15
9	13
10	6
11	12
12	28
13	14
14	24
15	12
16	31
17	18
18	39
19	20
20	42
21	8
22	12
23	24
24	60
25	31
26	42
27	40
28	56
29	30
30	12
31	32
32	63
33	12
34	18
35	24
36	91
37	38
38	60
39	28
40	30
41	42
42	24
43	44
44	84
45	78
46	24
47	48
48	124
49	57
50	93
51	36
52	14
53	54
54	120
55	12
56	120
57	20
58	30
59	60
60	84
61	62
62	96
63	104
64	127
65	42
66	12
67	68
68	126
69	24
70	24
71	72
72	195
73	74
74	114
75	124
76	140
77	24
78	84
79	80

[1, 3, 4, 7, 6, 12, 8, 15, 13, 6, 12, 28, 14, 24, 12, 31, 18, 39, 20, 42, 8, 12, 24, 60, 31, 42, 40, 56, 30, 12, 32, 63, 12, 18, 24, 91, 38, 60, 28, 30, 42, 24, 44, 84, 78, 24, 48, 124, 57, 93, 36, 14, 54, 120, 12, 120, 20, 30, 60, 84, 62, 96, 104, 127, 42, 12, 68, 126, 24, 24, 72, 195, 74, 114, 124, 140, 24, 84, 80]

cp's OEIS Frontend

A353783 a(n) = LCM_{p^e||n} sigma(p^e), where n = Product_{p^e||n}, with each p^e the maximal power of prime p that divides n.

Table of values

List of values

n	a(n)
1	1
2	3
3	4
4	7
5	6
6	12
7	8
8	15
9	13
10	6
11	12
12	28
13	14
14	24
15	12
16	31
17	18
18	39
19	20
20	42
21	8
22	12
23	24
24	60
25	31
26	42
27	40
28	56
29	30
30	12
31	32
32	63
33	12
34	18
35	24
36	91
37	38
38	60
39	28
40	30
41	42
42	24
43	44
44	84
45	78
46	24
47	48
48	124
49	57
50	93
51	36
52	14
53	54
54	120
55	12
56	120
57	20
58	30
59	60
60	84
61	62
62	96
63	104
64	127
65	42
66	12
67	68
68	126
69	24
70	24
71	72
72	195
73	74
74	114
75	124
76	140
77	24
78	84
79	80

n	a(n)
1	1
2	3
3	4
4	7
5	6
6	12
7	8
8	15
9	13
10	6
11	12
12	28
13	14
14	24
15	12
16	31
17	18
18	39
19	20
20	42
21	8
22	12
23	24
24	60
25	31
26	42
27	40
28	56
29	30
30	12
31	32
32	63
33	12
34	18
35	24
36	91
37	38
38	60
39	28
40	30
41	42
42	24
43	44
44	84
45	78
46	24
47	48
48	124
49	57
50	93
51	36
52	14
53	54
54	120
55	12
56	120
57	20
58	30
59	60
60	84
61	62
62	96
63	104
64	127
65	42
66	12
67	68
68	126
69	24
70	24
71	72
72	195
73	74
74	114
75	124
76	140
77	24
78	84
79	80

n	a(n)
1	1
2	3
3	4
4	7
5	6
6	12
7	8
8	15
9	13
10	6
11	12
12	28
13	14
14	24
15	12
16	31
17	18
18	39
19	20
20	42
21	8
22	12
23	24
24	60
25	31
26	42
27	40
28	56
29	30
30	12
31	32
32	63
33	12
34	18
35	24
36	91
37	38
38	60
39	28
40	30
41	42
42	24
43	44
44	84
45	78
46	24
47	48
48	124
49	57
50	93
51	36
52	14
53	54
54	120
55	12
56	120
57	20
58	30
59	60
60	84
61	62
62	96
63	104
64	127
65	42
66	12
67	68
68	126
69	24
70	24
71	72
72	195
73	74
74	114
75	124
76	140
77	24
78	84
79	80