A339378 - cp's OEIS frontend

A339378 Let n be a positive integer. For each prime divisor p of n, consider the highest power of p which does not exceed n. The sum a(n) of these powers is defined as the power-sum of n.

n	a(n)
1	0
2	2
3	3
4	4
5	5
6	7
7	7
8	8
9	9
10	13
11	11
12	17
13	13
14	15
15	14
16	16
17	17
18	25
19	19
20	21
21	16
22	27
23	23
24	25
25	25
26	29
27	27
28	23
29	29
30	68
31	31
32	32
33	38
34	49
35	32
36	59
37	37
38	51
39	40
40	57
41	41
42	66
43	43
44	43
45	52
46	55
47	47
48	59
49	49
50	57
51	44
52	45
53	53
54	59
55	36
56	81
57	46
58	61
59	59
60	84
61	61
62	63
63	76
64	64
65	38
66	102
67	67
68	81

[0, 2, 3, 4, 5, 7, 7, 8, 9, 13, 11, 17, 13, 15, 14, 16, 17, 25, 19, 21, 16, 27, 23, 25, 25, 29, 27, 23, 29, 68, 31, 32, 38, 49, 32, 59, 37, 51, 40, 57, 41, 66, 43, 43, 52, 55, 47, 59, 49, 57, 44, 45, 53, 59, 36, 81, 46, 61, 59, 84, 61, 63, 76, 64, 38, 102, 67, 81]

cp's OEIS Frontend

A339378 Let n be a positive integer. For each prime divisor p of n, consider the highest power of p which does not exceed n. The sum a(n) of these powers is defined as the power-sum of n.

Table of values

List of values

n	a(n)
1	0
2	2
3	3
4	4
5	5
6	7
7	7
8	8
9	9
10	13
11	11
12	17
13	13
14	15
15	14
16	16
17	17
18	25
19	19
20	21
21	16
22	27
23	23
24	25
25	25
26	29
27	27
28	23
29	29
30	68
31	31
32	32
33	38
34	49
35	32
36	59
37	37
38	51
39	40
40	57
41	41
42	66
43	43
44	43
45	52
46	55
47	47
48	59
49	49
50	57
51	44
52	45
53	53
54	59
55	36
56	81
57	46
58	61
59	59
60	84
61	61
62	63
63	76
64	64
65	38
66	102
67	67
68	81

n	a(n)
1	0
2	2
3	3
4	4
5	5
6	7
7	7
8	8
9	9
10	13
11	11
12	17
13	13
14	15
15	14
16	16
17	17
18	25
19	19
20	21
21	16
22	27
23	23
24	25
25	25
26	29
27	27
28	23
29	29
30	68
31	31
32	32
33	38
34	49
35	32
36	59
37	37
38	51
39	40
40	57
41	41
42	66
43	43
44	43
45	52
46	55
47	47
48	59
49	49
50	57
51	44
52	45
53	53
54	59
55	36
56	81
57	46
58	61
59	59
60	84
61	61
62	63
63	76
64	64
65	38
66	102
67	67
68	81

n	a(n)
1	0
2	2
3	3
4	4
5	5
6	7
7	7
8	8
9	9
10	13
11	11
12	17
13	13
14	15
15	14
16	16
17	17
18	25
19	19
20	21
21	16
22	27
23	23
24	25
25	25
26	29
27	27
28	23
29	29
30	68
31	31
32	32
33	38
34	49
35	32
36	59
37	37
38	51
39	40
40	57
41	41
42	66
43	43
44	43
45	52
46	55
47	47
48	59
49	49
50	57
51	44
52	45
53	53
54	59
55	36
56	81
57	46
58	61
59	59
60	84
61	61
62	63
63	76
64	64
65	38
66	102
67	67
68	81