Integers 1–500 in radix 17. Colored by multiplicative persistence (max 6 in this range).
Smallest number with persistence k:
k |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
smallest |
1 |
10 |
29 |
3f |
5g |
9f |
ce |
count |
16 |
141 |
158 |
110 |
64 |
9 |
2 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
19 |
20 |
21 |
22 |
23 |
24 |
|
| 0 | 1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
a
|
b
|
c
|
d
|
e
|
f
|
g
|
10
|
11
|
12
|
13
|
14
|
15
|
16
|
17
|
18
|
| 25 | 19
|
1a
|
1b
|
1c
|
1d
|
1e
|
1f
|
1g
|
20
|
21
|
22
|
23
|
24
|
25
|
26
|
27
|
28
|
29
|
2a
|
2b
|
2c
|
2d
|
2e
|
2f
|
2g
|
| 50 | 30
|
31
|
32
|
33
|
34
|
35
|
36
|
37
|
38
|
39
|
3a
|
3b
|
3c
|
3d
|
3e
|
3f
|
3g
|
40
|
41
|
42
|
43
|
44
|
45
|
46
|
47
|
| 75 | 48
|
49
|
4a
|
4b
|
4c
|
4d
|
4e
|
4f
|
4g
|
50
|
51
|
52
|
53
|
54
|
55
|
56
|
57
|
58
|
59
|
5a
|
5b
|
5c
|
5d
|
5e
|
5f
|
| 100 | 5g
|
60
|
61
|
62
|
63
|
64
|
65
|
66
|
67
|
68
|
69
|
6a
|
6b
|
6c
|
6d
|
6e
|
6f
|
6g
|
70
|
71
|
72
|
73
|
74
|
75
|
76
|
| 125 | 77
|
78
|
79
|
7a
|
7b
|
7c
|
7d
|
7e
|
7f
|
7g
|
80
|
81
|
82
|
83
|
84
|
85
|
86
|
87
|
88
|
89
|
8a
|
8b
|
8c
|
8d
|
8e
|
| 150 | 8f
|
8g
|
90
|
91
|
92
|
93
|
94
|
95
|
96
|
97
|
98
|
99
|
9a
|
9b
|
9c
|
9d
|
9e
|
9f
|
9g
|
a0
|
a1
|
a2
|
a3
|
a4
|
a5
|
| 175 | a6
|
a7
|
a8
|
a9
|
aa
|
ab
|
ac
|
ad
|
ae
|
af
|
ag
|
b0
|
b1
|
b2
|
b3
|
b4
|
b5
|
b6
|
b7
|
b8
|
b9
|
ba
|
bb
|
bc
|
bd
|
| 200 | be
|
bf
|
bg
|
c0
|
c1
|
c2
|
c3
|
c4
|
c5
|
c6
|
c7
|
c8
|
c9
|
ca
|
cb
|
cc
|
cd
|
ce
|
cf
|
cg
|
d0
|
d1
|
d2
|
d3
|
d4
|
| 225 | d5
|
d6
|
d7
|
d8
|
d9
|
da
|
db
|
dc
|
dd
|
de
|
df
|
dg
|
e0
|
e1
|
e2
|
e3
|
e4
|
e5
|
e6
|
e7
|
e8
|
e9
|
ea
|
eb
|
ec
|
| 250 | ed
|
ee
|
ef
|
eg
|
f0
|
f1
|
f2
|
f3
|
f4
|
f5
|
f6
|
f7
|
f8
|
f9
|
fa
|
fb
|
fc
|
fd
|
fe
|
ff
|
fg
|
g0
|
g1
|
g2
|
g3
|
| 275 | g4
|
g5
|
g6
|
g7
|
g8
|
g9
|
ga
|
gb
|
gc
|
gd
|
ge
|
gf
|
gg
|
100
|
101
|
102
|
103
|
104
|
105
|
106
|
107
|
108
|
109
|
10a
|
10b
|
| 300 | 10c
|
10d
|
10e
|
10f
|
10g
|
110
|
111
|
112
|
113
|
114
|
115
|
116
|
117
|
118
|
119
|
11a
|
11b
|
11c
|
11d
|
11e
|
11f
|
11g
|
120
|
121
|
122
|
| 325 | 123
|
124
|
125
|
126
|
127
|
128
|
129
|
12a
|
12b
|
12c
|
12d
|
12e
|
12f
|
12g
|
130
|
131
|
132
|
133
|
134
|
135
|
136
|
137
|
138
|
139
|
13a
|
| 350 | 13b
|
13c
|
13d
|
13e
|
13f
|
13g
|
140
|
141
|
142
|
143
|
144
|
145
|
146
|
147
|
148
|
149
|
14a
|
14b
|
14c
|
14d
|
14e
|
14f
|
14g
|
150
|
151
|
| 375 | 152
|
153
|
154
|
155
|
156
|
157
|
158
|
159
|
15a
|
15b
|
15c
|
15d
|
15e
|
15f
|
15g
|
160
|
161
|
162
|
163
|
164
|
165
|
166
|
167
|
168
|
169
|
| 400 | 16a
|
16b
|
16c
|
16d
|
16e
|
16f
|
16g
|
170
|
171
|
172
|
173
|
174
|
175
|
176
|
177
|
178
|
179
|
17a
|
17b
|
17c
|
17d
|
17e
|
17f
|
17g
|
180
|
| 425 | 181
|
182
|
183
|
184
|
185
|
186
|
187
|
188
|
189
|
18a
|
18b
|
18c
|
18d
|
18e
|
18f
|
18g
|
190
|
191
|
192
|
193
|
194
|
195
|
196
|
197
|
198
|
| 450 | 199
|
19a
|
19b
|
19c
|
19d
|
19e
|
19f
|
19g
|
1a0
|
1a1
|
1a2
|
1a3
|
1a4
|
1a5
|
1a6
|
1a7
|
1a8
|
1a9
|
1aa
|
1ab
|
1ac
|
1ad
|
1ae
|
1af
|
1ag
|
| 475 | 1b0
|
1b1
|
1b2
|
1b3
|
1b4
|
1b5
|
1b6
|
1b7
|
1b8
|
1b9
|
1ba
|
1bb
|
1bc
|
1bd
|
1be
|
1bf
|
1bg
|
1c0
|
1c1
|
1c2
|
1c3
|
1c4
|
1c5
|
1c6
|
1c7
|