A337541 - cp's OEIS frontend

A337541 Number of divisors d of n for which sigma(A003961(d)) >= 2*sigma(d), where sigma is the sum of divisors, and A003961(x) shifts the prime factorization of x one step towards larger primes.

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

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

cp's OEIS Frontend

A337541 Number of divisors d of n for which sigma(A003961(d)) >= 2*sigma(d), where sigma is the sum of divisors, and A003961(x) shifts the prime factorization of x one step towards larger primes.

Table of values

List of values

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

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

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