A112621 - cp's OEIS frontend

A112621 If p^b(p,n) is the highest power of the prime p dividing n, then a(n) = sum_{p|n} b(p,n)^b(p,n).

n	a(n)
1	0
2	1
3	1
4	4
5	1
6	2
7	1
8	27
9	4
10	2
11	1
12	5
13	1
14	2
15	2
16	256
17	1
18	5
19	1
20	5
21	2
22	2
23	1
24	28
25	4
26	2
27	27
28	5
29	1
30	3
31	1
32	3125
33	2
34	2
35	2
36	8
37	1
38	2
39	2
40	28
41	1
42	3
43	1
44	5
45	5
46	2
47	1
48	257
49	4
50	5
51	2
52	5
53	1
54	28
55	2
56	28
57	2
58	2
59	1
60	6
61	1
62	2
63	5
64	46656
65	2
66	3
67	1
68	5
69	2
70	3
71	1
72	31
73	1
74	2
75	5
76	5
77	2
78	3
79	1
80	257
81	256
82	2
83	1
84	6
85	2
86	2
87	2
88	28
89	1
90	6
91	2
92	5
93	2
94	2
95	2
96	3126
97	1
98	5
99	5
100	8
101	1
102	3
103	1
104	28
105	3

[0, 1, 1, 4, 1, 2, 1, 27, 4, 2, 1, 5, 1, 2, 2, 256, 1, 5, 1, 5, 2, 2, 1, 28, 4, 2, 27, 5, 1, 3, 1, 3125, 2, 2, 2, 8, 1, 2, 2, 28, 1, 3, 1, 5, 5, 2, 1, 257, 4, 5, 2, 5, 1, 28, 2, 28, 2, 2, 1, 6, 1, 2, 5, 46656, 2, 3, 1, 5, 2, 3, 1, 31, 1, 2, 5, 5, 2, 3, 1, 257, 256, 2, 1, 6, 2, 2, 2, 28, 1, 6, 2, 5, 2, 2, 2, 3126, 1, 5, 5, 8, 1, 3, 1, 28, 3]

cp's OEIS Frontend

A112621 If p^b(p,n) is the highest power of the prime p dividing n, then a(n) = sum_{p|n} b(p,n)^b(p,n).

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List of values