A064939 - cp's OEIS frontend

A064939 a(n) = Sum_{i=1..omega(n)} i*p_i, where {p_i}, i=1..omega(n) is the increasing sequence of prime divisors of n, where omega is the number of distinct prime factors of n (A001221).

n	a(n)
1	0
2	2
3	3
4	2
5	5
6	8
7	7
8	2
9	3
10	12
11	11
12	8
13	13
14	16
15	13
16	2
17	17
18	8
19	19
20	12
21	17
22	24
23	23
24	8
25	5
26	28
27	3
28	16
29	29
30	23
31	31
32	2
33	25
34	36
35	19
36	8
37	37
38	40
39	29
40	12
41	41
42	29
43	43
44	24
45	13
46	48
47	47
48	8
49	7
50	12
51	37
52	28
53	53
54	8
55	27
56	16
57	41
58	60
59	59
60	23
61	61
62	64
63	17
64	2
65	31
66	41
67	67
68	36
69	49
70	33
71	71
72	8
73	73
74	76
75	13
76	40

[0, 2, 3, 2, 5, 8, 7, 2, 3, 12, 11, 8, 13, 16, 13, 2, 17, 8, 19, 12, 17, 24, 23, 8, 5, 28, 3, 16, 29, 23, 31, 2, 25, 36, 19, 8, 37, 40, 29, 12, 41, 29, 43, 24, 13, 48, 47, 8, 7, 12, 37, 28, 53, 8, 27, 16, 41, 60, 59, 23, 61, 64, 17, 2, 31, 41, 67, 36, 49, 33, 71, 8, 73, 76, 13, 40]

cp's OEIS Frontend

A064939 a(n) = Sum_{i=1..omega(n)} i*p_i, where {p_i}, i=1..omega(n) is the increasing sequence of prime divisors of n, where omega is the number of distinct prime factors of n (A001221).

Table of values

List of values

n	a(n)
1	0
2	2
3	3
4	2
5	5
6	8
7	7
8	2
9	3
10	12
11	11
12	8
13	13
14	16
15	13
16	2
17	17
18	8
19	19
20	12
21	17
22	24
23	23
24	8
25	5
26	28
27	3
28	16
29	29
30	23
31	31
32	2
33	25
34	36
35	19
36	8
37	37
38	40
39	29
40	12
41	41
42	29
43	43
44	24
45	13
46	48
47	47
48	8
49	7
50	12
51	37
52	28
53	53
54	8
55	27
56	16
57	41
58	60
59	59
60	23
61	61
62	64
63	17
64	2
65	31
66	41
67	67
68	36
69	49
70	33
71	71
72	8
73	73
74	76
75	13
76	40

n	a(n)
1	0
2	2
3	3
4	2
5	5
6	8
7	7
8	2
9	3
10	12
11	11
12	8
13	13
14	16
15	13
16	2
17	17
18	8
19	19
20	12
21	17
22	24
23	23
24	8
25	5
26	28
27	3
28	16
29	29
30	23
31	31
32	2
33	25
34	36
35	19
36	8
37	37
38	40
39	29
40	12
41	41
42	29
43	43
44	24
45	13
46	48
47	47
48	8
49	7
50	12
51	37
52	28
53	53
54	8
55	27
56	16
57	41
58	60
59	59
60	23
61	61
62	64
63	17
64	2
65	31
66	41
67	67
68	36
69	49
70	33
71	71
72	8
73	73
74	76
75	13
76	40

n	a(n)
1	0
2	2
3	3
4	2
5	5
6	8
7	7
8	2
9	3
10	12
11	11
12	8
13	13
14	16
15	13
16	2
17	17
18	8
19	19
20	12
21	17
22	24
23	23
24	8
25	5
26	28
27	3
28	16
29	29
30	23
31	31
32	2
33	25
34	36
35	19
36	8
37	37
38	40
39	29
40	12
41	41
42	29
43	43
44	24
45	13
46	48
47	47
48	8
49	7
50	12
51	37
52	28
53	53
54	8
55	27
56	16
57	41
58	60
59	59
60	23
61	61
62	64
63	17
64	2
65	31
66	41
67	67
68	36
69	49
70	33
71	71
72	8
73	73
74	76
75	13
76	40