A306352 - cp's OEIS frontend

A306352 a(n) is the least k >= 0 such that all the positive divisors of n have a distinct value under the mapping d -> d AND k (where AND denotes the bitwise AND operator).

n	a(n)
1	0
2	1
3	2
4	3
5	4
6	7
7	2
8	7
9	10
10	13
11	2
12	15
13	4
14	5
15	6
16	15
17	16
18	31
19	2
20	29
21	6
22	7
23	2
24	31
25	12
26	9
27	10
28	11
29	4
30	15
31	2
32	31
33	42
34	49
35	6
36	63
37	4
38	7
39	6
40	63
41	8
42	15
43	2
44	14
45	14
46	5
47	2
48	63
49	18
50	29
51	18
52	21
53	4
54	31
55	6
56	23
57	18
58	9
59	2
60	31
61	4
62	5
63	14
64	63
65	76
66	127
67	2
68	115
69	6
70	15
71	2
72	127
73	8
74	13

[0, 1, 2, 3, 4, 7, 2, 7, 10, 13, 2, 15, 4, 5, 6, 15, 16, 31, 2, 29, 6, 7, 2, 31, 12, 9, 10, 11, 4, 15, 2, 31, 42, 49, 6, 63, 4, 7, 6, 63, 8, 15, 2, 14, 14, 5, 2, 63, 18, 29, 18, 21, 4, 31, 6, 23, 18, 9, 2, 31, 4, 5, 14, 63, 76, 127, 2, 115, 6, 15, 2, 127, 8, 13]

cp's OEIS Frontend

A306352 a(n) is the least k >= 0 such that all the positive divisors of n have a distinct value under the mapping d -> d AND k (where AND denotes the bitwise AND operator).

Table of values

List of values

n	a(n)
1	0
2	1
3	2
4	3
5	4
6	7
7	2
8	7
9	10
10	13
11	2
12	15
13	4
14	5
15	6
16	15
17	16
18	31
19	2
20	29
21	6
22	7
23	2
24	31
25	12
26	9
27	10
28	11
29	4
30	15
31	2
32	31
33	42
34	49
35	6
36	63
37	4
38	7
39	6
40	63
41	8
42	15
43	2
44	14
45	14
46	5
47	2
48	63
49	18
50	29
51	18
52	21
53	4
54	31
55	6
56	23
57	18
58	9
59	2
60	31
61	4
62	5
63	14
64	63
65	76
66	127
67	2
68	115
69	6
70	15
71	2
72	127
73	8
74	13

n	a(n)
1	0
2	1
3	2
4	3
5	4
6	7
7	2
8	7
9	10
10	13
11	2
12	15
13	4
14	5
15	6
16	15
17	16
18	31
19	2
20	29
21	6
22	7
23	2
24	31
25	12
26	9
27	10
28	11
29	4
30	15
31	2
32	31
33	42
34	49
35	6
36	63
37	4
38	7
39	6
40	63
41	8
42	15
43	2
44	14
45	14
46	5
47	2
48	63
49	18
50	29
51	18
52	21
53	4
54	31
55	6
56	23
57	18
58	9
59	2
60	31
61	4
62	5
63	14
64	63
65	76
66	127
67	2
68	115
69	6
70	15
71	2
72	127
73	8
74	13

n	a(n)
1	0
2	1
3	2
4	3
5	4
6	7
7	2
8	7
9	10
10	13
11	2
12	15
13	4
14	5
15	6
16	15
17	16
18	31
19	2
20	29
21	6
22	7
23	2
24	31
25	12
26	9
27	10
28	11
29	4
30	15
31	2
32	31
33	42
34	49
35	6
36	63
37	4
38	7
39	6
40	63
41	8
42	15
43	2
44	14
45	14
46	5
47	2
48	63
49	18
50	29
51	18
52	21
53	4
54	31
55	6
56	23
57	18
58	9
59	2
60	31
61	4
62	5
63	14
64	63
65	76
66	127
67	2
68	115
69	6
70	15
71	2
72	127
73	8
74	13