Integers 1–500 in radix 13. 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 |
27 |
3b |
5a |
9a |
27a |
count |
12 |
146 |
156 |
99 |
69 |
16 |
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
|
10
|
11
|
12
|
13
|
14
|
15
|
16
|
17
|
18
|
19
|
1a
|
1b
|
1c
|
| 25 | 20
|
21
|
22
|
23
|
24
|
25
|
26
|
27
|
28
|
29
|
2a
|
2b
|
2c
|
30
|
31
|
32
|
33
|
34
|
35
|
36
|
37
|
38
|
39
|
3a
|
3b
|
| 50 | 3c
|
40
|
41
|
42
|
43
|
44
|
45
|
46
|
47
|
48
|
49
|
4a
|
4b
|
4c
|
50
|
51
|
52
|
53
|
54
|
55
|
56
|
57
|
58
|
59
|
5a
|
| 75 | 5b
|
5c
|
60
|
61
|
62
|
63
|
64
|
65
|
66
|
67
|
68
|
69
|
6a
|
6b
|
6c
|
70
|
71
|
72
|
73
|
74
|
75
|
76
|
77
|
78
|
79
|
| 100 | 7a
|
7b
|
7c
|
80
|
81
|
82
|
83
|
84
|
85
|
86
|
87
|
88
|
89
|
8a
|
8b
|
8c
|
90
|
91
|
92
|
93
|
94
|
95
|
96
|
97
|
98
|
| 125 | 99
|
9a
|
9b
|
9c
|
a0
|
a1
|
a2
|
a3
|
a4
|
a5
|
a6
|
a7
|
a8
|
a9
|
aa
|
ab
|
ac
|
b0
|
b1
|
b2
|
b3
|
b4
|
b5
|
b6
|
b7
|
| 150 | b8
|
b9
|
ba
|
bb
|
bc
|
c0
|
c1
|
c2
|
c3
|
c4
|
c5
|
c6
|
c7
|
c8
|
c9
|
ca
|
cb
|
cc
|
100
|
101
|
102
|
103
|
104
|
105
|
106
|
| 175 | 107
|
108
|
109
|
10a
|
10b
|
10c
|
110
|
111
|
112
|
113
|
114
|
115
|
116
|
117
|
118
|
119
|
11a
|
11b
|
11c
|
120
|
121
|
122
|
123
|
124
|
125
|
| 200 | 126
|
127
|
128
|
129
|
12a
|
12b
|
12c
|
130
|
131
|
132
|
133
|
134
|
135
|
136
|
137
|
138
|
139
|
13a
|
13b
|
13c
|
140
|
141
|
142
|
143
|
144
|
| 225 | 145
|
146
|
147
|
148
|
149
|
14a
|
14b
|
14c
|
150
|
151
|
152
|
153
|
154
|
155
|
156
|
157
|
158
|
159
|
15a
|
15b
|
15c
|
160
|
161
|
162
|
163
|
| 250 | 164
|
165
|
166
|
167
|
168
|
169
|
16a
|
16b
|
16c
|
170
|
171
|
172
|
173
|
174
|
175
|
176
|
177
|
178
|
179
|
17a
|
17b
|
17c
|
180
|
181
|
182
|
| 275 | 183
|
184
|
185
|
186
|
187
|
188
|
189
|
18a
|
18b
|
18c
|
190
|
191
|
192
|
193
|
194
|
195
|
196
|
197
|
198
|
199
|
19a
|
19b
|
19c
|
1a0
|
1a1
|
| 300 | 1a2
|
1a3
|
1a4
|
1a5
|
1a6
|
1a7
|
1a8
|
1a9
|
1aa
|
1ab
|
1ac
|
1b0
|
1b1
|
1b2
|
1b3
|
1b4
|
1b5
|
1b6
|
1b7
|
1b8
|
1b9
|
1ba
|
1bb
|
1bc
|
1c0
|
| 325 | 1c1
|
1c2
|
1c3
|
1c4
|
1c5
|
1c6
|
1c7
|
1c8
|
1c9
|
1ca
|
1cb
|
1cc
|
200
|
201
|
202
|
203
|
204
|
205
|
206
|
207
|
208
|
209
|
20a
|
20b
|
20c
|
| 350 | 210
|
211
|
212
|
213
|
214
|
215
|
216
|
217
|
218
|
219
|
21a
|
21b
|
21c
|
220
|
221
|
222
|
223
|
224
|
225
|
226
|
227
|
228
|
229
|
22a
|
22b
|
| 375 | 22c
|
230
|
231
|
232
|
233
|
234
|
235
|
236
|
237
|
238
|
239
|
23a
|
23b
|
23c
|
240
|
241
|
242
|
243
|
244
|
245
|
246
|
247
|
248
|
249
|
24a
|
| 400 | 24b
|
24c
|
250
|
251
|
252
|
253
|
254
|
255
|
256
|
257
|
258
|
259
|
25a
|
25b
|
25c
|
260
|
261
|
262
|
263
|
264
|
265
|
266
|
267
|
268
|
269
|
| 425 | 26a
|
26b
|
26c
|
270
|
271
|
272
|
273
|
274
|
275
|
276
|
277
|
278
|
279
|
27a
|
27b
|
27c
|
280
|
281
|
282
|
283
|
284
|
285
|
286
|
287
|
288
|
| 450 | 289
|
28a
|
28b
|
28c
|
290
|
291
|
292
|
293
|
294
|
295
|
296
|
297
|
298
|
299
|
29a
|
29b
|
29c
|
2a0
|
2a1
|
2a2
|
2a3
|
2a4
|
2a5
|
2a6
|
2a7
|
| 475 | 2a8
|
2a9
|
2aa
|
2ab
|
2ac
|
2b0
|
2b1
|
2b2
|
2b3
|
2b4
|
2b5
|
2b6
|
2b7
|
2b8
|
2b9
|
2ba
|
2bb
|
2bc
|
2c0
|
2c1
|
2c2
|
2c3
|
2c4
|
2c5
|
2c6
|