A188550 - cp's OEIS frontend

A188550 Maximal number of divisors d>1 of n-k such that n-d is a multiple of k, when k runs through values 2, 3, ..., floor(sqrt(n)).

n	a(n)
4	1
5	1
6	2
7	1
8	2
9	2
10	3
11	2
12	2
13	1
14	4
15	3
16	2
17	3
18	4
19	2
20	3
21	4
22	4
23	3
24	2
25	3
26	6
27	4
28	4
29	3
30	4
31	3
32	4
33	4
34	5
35	4
36	4
37	3
38	6
39	6
40	3
41	3
42	6
43	3
44	4
45	4
46	4
47	5
48	4
49	4
50	8
51	5
52	6
53	3
54	4
55	4
56	4
57	6
58	6
59	4
60	4
61	1
62	8
63	6
64	4
65	6
66	6
67	3
68	5
69	4
70	4
71	3
72	4
73	3
74	9
75	8
76	6
77	5
78	6
79	3
80	4
81	4
82	8
83	5
84	6
85	5
86	8
87	6
88	4
89	3
90	6
91	6
92	6
93	8
94	6
95	6
96	4
97	3
98	10
99	6
100	8
101	5
102	6
103	4
104	6
105	6
106	6
107	7
108	4
109	3
110	8
111	9
112	4
113	4
114	8
115	5
116	6
117	6
118	4
119	5
120	4

[1, 1, 2, 1, 2, 2, 3, 2, 2, 1, 4, 3, 2, 3, 4, 2, 3, 4, 4, 3, 2, 3, 6, 4, 4, 3, 4, 3, 4, 4, 5, 4, 4, 3, 6, 6, 3, 3, 6, 3, 4, 4, 4, 5, 4, 4, 8, 5, 6, 3, 4, 4, 4, 6, 6, 4, 4, 1, 8, 6, 4, 6, 6, 3, 5, 4, 4, 3, 4, 3, 9, 8, 6, 5, 6, 3, 4, 4, 8, 5, 6, 5, 8, 6, 4, 3, 6, 6, 6, 8, 6, 6, 4, 3, 10, 6, 8, 5, 6, 4, 6, 6, 6, 7, 4, 3, 8, 9, 4, 4, 8, 5, 6, 6, 4, 5, 4]

cp's OEIS Frontend

A188550 Maximal number of divisors d>1 of n-k such that n-d is a multiple of k, when k runs through values 2, 3, ..., floor(sqrt(n)).

Table of values

List of values

n	a(n)
4	1
5	1
6	2
7	1
8	2
9	2
10	3
11	2
12	2
13	1
14	4
15	3
16	2
17	3
18	4
19	2
20	3
21	4
22	4
23	3
24	2
25	3
26	6
27	4
28	4
29	3
30	4
31	3
32	4
33	4
34	5
35	4
36	4
37	3
38	6
39	6
40	3
41	3
42	6
43	3
44	4
45	4
46	4
47	5
48	4
49	4
50	8
51	5
52	6
53	3
54	4
55	4
56	4
57	6
58	6
59	4
60	4
61	1
62	8
63	6
64	4
65	6
66	6
67	3
68	5
69	4
70	4
71	3
72	4
73	3
74	9
75	8
76	6
77	5
78	6
79	3
80	4
81	4
82	8
83	5
84	6
85	5
86	8
87	6
88	4
89	3
90	6
91	6
92	6
93	8
94	6
95	6
96	4
97	3
98	10
99	6
100	8
101	5
102	6
103	4
104	6
105	6
106	6
107	7
108	4
109	3
110	8
111	9
112	4
113	4
114	8
115	5
116	6
117	6
118	4
119	5
120	4

n	a(n)
4	1
5	1
6	2
7	1
8	2
9	2
10	3
11	2
12	2
13	1
14	4
15	3
16	2
17	3
18	4
19	2
20	3
21	4
22	4
23	3
24	2
25	3
26	6
27	4
28	4
29	3
30	4
31	3
32	4
33	4
34	5
35	4
36	4
37	3
38	6
39	6
40	3
41	3
42	6
43	3
44	4
45	4
46	4
47	5
48	4
49	4
50	8
51	5
52	6
53	3
54	4
55	4
56	4
57	6
58	6
59	4
60	4
61	1
62	8
63	6
64	4
65	6
66	6
67	3
68	5
69	4
70	4
71	3
72	4
73	3
74	9
75	8
76	6
77	5
78	6
79	3
80	4
81	4
82	8
83	5
84	6
85	5
86	8
87	6
88	4
89	3
90	6
91	6
92	6
93	8
94	6
95	6
96	4
97	3
98	10
99	6
100	8
101	5
102	6
103	4
104	6
105	6
106	6
107	7
108	4
109	3
110	8
111	9
112	4
113	4
114	8
115	5
116	6
117	6
118	4
119	5
120	4

n	a(n)
4	1
5	1
6	2
7	1
8	2
9	2
10	3
11	2
12	2
13	1
14	4
15	3
16	2
17	3
18	4
19	2
20	3
21	4
22	4
23	3
24	2
25	3
26	6
27	4
28	4
29	3
30	4
31	3
32	4
33	4
34	5
35	4
36	4
37	3
38	6
39	6
40	3
41	3
42	6
43	3
44	4
45	4
46	4
47	5
48	4
49	4
50	8
51	5
52	6
53	3
54	4
55	4
56	4
57	6
58	6
59	4
60	4
61	1
62	8
63	6
64	4
65	6
66	6
67	3
68	5
69	4
70	4
71	3
72	4
73	3
74	9
75	8
76	6
77	5
78	6
79	3
80	4
81	4
82	8
83	5
84	6
85	5
86	8
87	6
88	4
89	3
90	6
91	6
92	6
93	8
94	6
95	6
96	4
97	3
98	10
99	6
100	8
101	5
102	6
103	4
104	6
105	6
106	6
107	7
108	4
109	3
110	8
111	9
112	4
113	4
114	8
115	5
116	6
117	6
118	4
119	5
120	4