A319685 - cp's OEIS frontend

A319685 Number of distinct values obtained when arithmetic derivative (A003415) is applied to proper divisors of n.

n	a(n)
1	0
2	1
3	1
4	2
5	1
6	2
7	1
8	3
9	2
10	2
11	1
12	4
13	1
14	2
15	2
16	4
17	1
18	4
19	1
20	4
21	2
22	2
23	1
24	6
25	2
26	2
27	3
28	4
29	1
30	5
31	1
32	5
33	2
34	2
35	2
36	7
37	1
38	2
39	2
40	6
41	1
42	5
43	1
44	4
45	4
46	2
47	1
48	8
49	2
50	4
51	2
52	4
53	1
54	6
55	2
56	6
57	2
58	2
59	1
60	9
61	1
62	2
63	4
64	6
65	2
66	5
67	1
68	4
69	2
70	5
71	1
72	10
73	1
74	2
75	4
76	4
77	2
78	5
79	1
80	8
81	4
82	2
83	1
84	9
85	2
86	2
87	2
88	6
89	1
90	9
91	2
92	4
93	2
94	2
95	2
96	10
97	1
98	4
99	4
100	7
101	1
102	5
103	1
104	6
105	5
106	2
107	1
108	10
109	1
110	5
111	2
112	7
113	1
114	5
115	2
116	4
117	4
118	2
119	2
120	13

[0, 1, 1, 2, 1, 2, 1, 3, 2, 2, 1, 4, 1, 2, 2, 4, 1, 4, 1, 4, 2, 2, 1, 6, 2, 2, 3, 4, 1, 5, 1, 5, 2, 2, 2, 7, 1, 2, 2, 6, 1, 5, 1, 4, 4, 2, 1, 8, 2, 4, 2, 4, 1, 6, 2, 6, 2, 2, 1, 9, 1, 2, 4, 6, 2, 5, 1, 4, 2, 5, 1, 10, 1, 2, 4, 4, 2, 5, 1, 8, 4, 2, 1, 9, 2, 2, 2, 6, 1, 9, 2, 4, 2, 2, 2, 10, 1, 4, 4, 7, 1, 5, 1, 6, 5, 2, 1, 10, 1, 5, 2, 7, 1, 5, 2, 4, 4, 2, 2, 13]

cp's OEIS Frontend

A319685 Number of distinct values obtained when arithmetic derivative (A003415) is applied to proper divisors of n.

Table of values

List of values

n	a(n)
1	0
2	1
3	1
4	2
5	1
6	2
7	1
8	3
9	2
10	2
11	1
12	4
13	1
14	2
15	2
16	4
17	1
18	4
19	1
20	4
21	2
22	2
23	1
24	6
25	2
26	2
27	3
28	4
29	1
30	5
31	1
32	5
33	2
34	2
35	2
36	7
37	1
38	2
39	2
40	6
41	1
42	5
43	1
44	4
45	4
46	2
47	1
48	8
49	2
50	4
51	2
52	4
53	1
54	6
55	2
56	6
57	2
58	2
59	1
60	9
61	1
62	2
63	4
64	6
65	2
66	5
67	1
68	4
69	2
70	5
71	1
72	10
73	1
74	2
75	4
76	4
77	2
78	5
79	1
80	8
81	4
82	2
83	1
84	9
85	2
86	2
87	2
88	6
89	1
90	9
91	2
92	4
93	2
94	2
95	2
96	10
97	1
98	4
99	4
100	7
101	1
102	5
103	1
104	6
105	5
106	2
107	1
108	10
109	1
110	5
111	2
112	7
113	1
114	5
115	2
116	4
117	4
118	2
119	2
120	13

n	a(n)
1	0
2	1
3	1
4	2
5	1
6	2
7	1
8	3
9	2
10	2
11	1
12	4
13	1
14	2
15	2
16	4
17	1
18	4
19	1
20	4
21	2
22	2
23	1
24	6
25	2
26	2
27	3
28	4
29	1
30	5
31	1
32	5
33	2
34	2
35	2
36	7
37	1
38	2
39	2
40	6
41	1
42	5
43	1
44	4
45	4
46	2
47	1
48	8
49	2
50	4
51	2
52	4
53	1
54	6
55	2
56	6
57	2
58	2
59	1
60	9
61	1
62	2
63	4
64	6
65	2
66	5
67	1
68	4
69	2
70	5
71	1
72	10
73	1
74	2
75	4
76	4
77	2
78	5
79	1
80	8
81	4
82	2
83	1
84	9
85	2
86	2
87	2
88	6
89	1
90	9
91	2
92	4
93	2
94	2
95	2
96	10
97	1
98	4
99	4
100	7
101	1
102	5
103	1
104	6
105	5
106	2
107	1
108	10
109	1
110	5
111	2
112	7
113	1
114	5
115	2
116	4
117	4
118	2
119	2
120	13

n	a(n)
1	0
2	1
3	1
4	2
5	1
6	2
7	1
8	3
9	2
10	2
11	1
12	4
13	1
14	2
15	2
16	4
17	1
18	4
19	1
20	4
21	2
22	2
23	1
24	6
25	2
26	2
27	3
28	4
29	1
30	5
31	1
32	5
33	2
34	2
35	2
36	7
37	1
38	2
39	2
40	6
41	1
42	5
43	1
44	4
45	4
46	2
47	1
48	8
49	2
50	4
51	2
52	4
53	1
54	6
55	2
56	6
57	2
58	2
59	1
60	9
61	1
62	2
63	4
64	6
65	2
66	5
67	1
68	4
69	2
70	5
71	1
72	10
73	1
74	2
75	4
76	4
77	2
78	5
79	1
80	8
81	4
82	2
83	1
84	9
85	2
86	2
87	2
88	6
89	1
90	9
91	2
92	4
93	2
94	2
95	2
96	10
97	1
98	4
99	4
100	7
101	1
102	5
103	1
104	6
105	5
106	2
107	1
108	10
109	1
110	5
111	2
112	7
113	1
114	5
115	2
116	4
117	4
118	2
119	2
120	13