Integers 1–500 in radix 12. Colored by multiplicative persistence (max 4 in this range).
Smallest number with persistence k:
k |
0 |
1 |
2 |
3 |
4 |
smallest |
1 |
10 |
26 |
3a |
6b |
count |
11 |
147 |
180 |
126 |
36 |
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
|
10
|
11
|
12
|
13
|
14
|
15
|
16
|
17
|
18
|
19
|
1a
|
1b
|
20
|
21
|
| 25 | 22
|
23
|
24
|
25
|
26
|
27
|
28
|
29
|
2a
|
2b
|
30
|
31
|
32
|
33
|
34
|
35
|
36
|
37
|
38
|
39
|
3a
|
3b
|
40
|
41
|
42
|
| 50 | 43
|
44
|
45
|
46
|
47
|
48
|
49
|
4a
|
4b
|
50
|
51
|
52
|
53
|
54
|
55
|
56
|
57
|
58
|
59
|
5a
|
5b
|
60
|
61
|
62
|
63
|
| 75 | 64
|
65
|
66
|
67
|
68
|
69
|
6a
|
6b
|
70
|
71
|
72
|
73
|
74
|
75
|
76
|
77
|
78
|
79
|
7a
|
7b
|
80
|
81
|
82
|
83
|
84
|
| 100 | 85
|
86
|
87
|
88
|
89
|
8a
|
8b
|
90
|
91
|
92
|
93
|
94
|
95
|
96
|
97
|
98
|
99
|
9a
|
9b
|
a0
|
a1
|
a2
|
a3
|
a4
|
a5
|
| 125 | a6
|
a7
|
a8
|
a9
|
aa
|
ab
|
b0
|
b1
|
b2
|
b3
|
b4
|
b5
|
b6
|
b7
|
b8
|
b9
|
ba
|
bb
|
100
|
101
|
102
|
103
|
104
|
105
|
106
|
| 150 | 107
|
108
|
109
|
10a
|
10b
|
110
|
111
|
112
|
113
|
114
|
115
|
116
|
117
|
118
|
119
|
11a
|
11b
|
120
|
121
|
122
|
123
|
124
|
125
|
126
|
127
|
| 175 | 128
|
129
|
12a
|
12b
|
130
|
131
|
132
|
133
|
134
|
135
|
136
|
137
|
138
|
139
|
13a
|
13b
|
140
|
141
|
142
|
143
|
144
|
145
|
146
|
147
|
148
|
| 200 | 149
|
14a
|
14b
|
150
|
151
|
152
|
153
|
154
|
155
|
156
|
157
|
158
|
159
|
15a
|
15b
|
160
|
161
|
162
|
163
|
164
|
165
|
166
|
167
|
168
|
169
|
| 225 | 16a
|
16b
|
170
|
171
|
172
|
173
|
174
|
175
|
176
|
177
|
178
|
179
|
17a
|
17b
|
180
|
181
|
182
|
183
|
184
|
185
|
186
|
187
|
188
|
189
|
18a
|
| 250 | 18b
|
190
|
191
|
192
|
193
|
194
|
195
|
196
|
197
|
198
|
199
|
19a
|
19b
|
1a0
|
1a1
|
1a2
|
1a3
|
1a4
|
1a5
|
1a6
|
1a7
|
1a8
|
1a9
|
1aa
|
1ab
|
| 275 | 1b0
|
1b1
|
1b2
|
1b3
|
1b4
|
1b5
|
1b6
|
1b7
|
1b8
|
1b9
|
1ba
|
1bb
|
200
|
201
|
202
|
203
|
204
|
205
|
206
|
207
|
208
|
209
|
20a
|
20b
|
210
|
| 300 | 211
|
212
|
213
|
214
|
215
|
216
|
217
|
218
|
219
|
21a
|
21b
|
220
|
221
|
222
|
223
|
224
|
225
|
226
|
227
|
228
|
229
|
22a
|
22b
|
230
|
231
|
| 325 | 232
|
233
|
234
|
235
|
236
|
237
|
238
|
239
|
23a
|
23b
|
240
|
241
|
242
|
243
|
244
|
245
|
246
|
247
|
248
|
249
|
24a
|
24b
|
250
|
251
|
252
|
| 350 | 253
|
254
|
255
|
256
|
257
|
258
|
259
|
25a
|
25b
|
260
|
261
|
262
|
263
|
264
|
265
|
266
|
267
|
268
|
269
|
26a
|
26b
|
270
|
271
|
272
|
273
|
| 375 | 274
|
275
|
276
|
277
|
278
|
279
|
27a
|
27b
|
280
|
281
|
282
|
283
|
284
|
285
|
286
|
287
|
288
|
289
|
28a
|
28b
|
290
|
291
|
292
|
293
|
294
|
| 400 | 295
|
296
|
297
|
298
|
299
|
29a
|
29b
|
2a0
|
2a1
|
2a2
|
2a3
|
2a4
|
2a5
|
2a6
|
2a7
|
2a8
|
2a9
|
2aa
|
2ab
|
2b0
|
2b1
|
2b2
|
2b3
|
2b4
|
2b5
|
| 425 | 2b6
|
2b7
|
2b8
|
2b9
|
2ba
|
2bb
|
300
|
301
|
302
|
303
|
304
|
305
|
306
|
307
|
308
|
309
|
30a
|
30b
|
310
|
311
|
312
|
313
|
314
|
315
|
316
|
| 450 | 317
|
318
|
319
|
31a
|
31b
|
320
|
321
|
322
|
323
|
324
|
325
|
326
|
327
|
328
|
329
|
32a
|
32b
|
330
|
331
|
332
|
333
|
334
|
335
|
336
|
337
|
| 475 | 338
|
339
|
33a
|
33b
|
340
|
341
|
342
|
343
|
344
|
345
|
346
|
347
|
348
|
349
|
34a
|
34b
|
350
|
351
|
352
|
353
|
354
|
355
|
356
|
357
|
358
|