A336682 - cp's OEIS frontend

A336682 a(n) is the number of iterations needed to reach a fixed point starting with n and repeatedly applying f(x) = x - (the product of the digits of x).

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

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

cp's OEIS Frontend

A336682 a(n) is the number of iterations needed to reach a fixed point starting with n and repeatedly applying f(x) = x - (the product of the digits of x).

Table of values

List of values

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

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

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