A112779 - cp's OEIS frontend

A112779 Largest exponent in the prime factorization of highly composite numbers (definition 1, A002182).

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

[0, 1, 2, 1, 2, 3, 2, 4, 2, 3, 2, 4, 3, 4, 3, 2, 4, 3, 4, 3, 5, 4, 6, 4, 3, 4, 5, 4, 3, 5, 4, 6, 4, 5, 4, 5, 6, 4, 3, 5, 4, 6, 4, 5, 4, 5, 6, 4, 6, 7, 5, 4, 4, 6, 4, 5, 4, 5, 6, 4, 6, 7, 5, 4, 4, 6, 5, 5, 4, 6, 5, 6, 4, 6, 7, 5, 4, 6, 5, 7, 6, 5, 6, 4, 4, 6, 7, 5, 5, 4, 6, 6, 5, 7, 6, 5, 6, 4, 7, 6, 7, 5, 7, 6, 8]

cp's OEIS Frontend

A112779 Largest exponent in the prime factorization of highly composite numbers (definition 1, A002182).

Table of values

List of values

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

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

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