Integers 1–500 in radix 7. Colored by multiplicative persistence (max 4 in this range).
Smallest number with persistence k:
k |
0 |
1 |
2 |
3 |
4 |
smallest |
1 |
10 |
24 |
36 |
245 |
count |
6 |
227 |
142 |
100 |
25 |
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
|
10
|
11
|
12
|
13
|
14
|
15
|
16
|
20
|
21
|
22
|
23
|
24
|
25
|
26
|
30
|
31
|
32
|
33
|
34
|
| 25 | 35
|
36
|
40
|
41
|
42
|
43
|
44
|
45
|
46
|
50
|
51
|
52
|
53
|
54
|
55
|
56
|
60
|
61
|
62
|
63
|
64
|
65
|
66
|
100
|
101
|
| 50 | 102
|
103
|
104
|
105
|
106
|
110
|
111
|
112
|
113
|
114
|
115
|
116
|
120
|
121
|
122
|
123
|
124
|
125
|
126
|
130
|
131
|
132
|
133
|
134
|
135
|
| 75 | 136
|
140
|
141
|
142
|
143
|
144
|
145
|
146
|
150
|
151
|
152
|
153
|
154
|
155
|
156
|
160
|
161
|
162
|
163
|
164
|
165
|
166
|
200
|
201
|
202
|
| 100 | 203
|
204
|
205
|
206
|
210
|
211
|
212
|
213
|
214
|
215
|
216
|
220
|
221
|
222
|
223
|
224
|
225
|
226
|
230
|
231
|
232
|
233
|
234
|
235
|
236
|
| 125 | 240
|
241
|
242
|
243
|
244
|
245
|
246
|
250
|
251
|
252
|
253
|
254
|
255
|
256
|
260
|
261
|
262
|
263
|
264
|
265
|
266
|
300
|
301
|
302
|
303
|
| 150 | 304
|
305
|
306
|
310
|
311
|
312
|
313
|
314
|
315
|
316
|
320
|
321
|
322
|
323
|
324
|
325
|
326
|
330
|
331
|
332
|
333
|
334
|
335
|
336
|
340
|
| 175 | 341
|
342
|
343
|
344
|
345
|
346
|
350
|
351
|
352
|
353
|
354
|
355
|
356
|
360
|
361
|
362
|
363
|
364
|
365
|
366
|
400
|
401
|
402
|
403
|
404
|
| 200 | 405
|
406
|
410
|
411
|
412
|
413
|
414
|
415
|
416
|
420
|
421
|
422
|
423
|
424
|
425
|
426
|
430
|
431
|
432
|
433
|
434
|
435
|
436
|
440
|
441
|
| 225 | 442
|
443
|
444
|
445
|
446
|
450
|
451
|
452
|
453
|
454
|
455
|
456
|
460
|
461
|
462
|
463
|
464
|
465
|
466
|
500
|
501
|
502
|
503
|
504
|
505
|
| 250 | 506
|
510
|
511
|
512
|
513
|
514
|
515
|
516
|
520
|
521
|
522
|
523
|
524
|
525
|
526
|
530
|
531
|
532
|
533
|
534
|
535
|
536
|
540
|
541
|
542
|
| 275 | 543
|
544
|
545
|
546
|
550
|
551
|
552
|
553
|
554
|
555
|
556
|
560
|
561
|
562
|
563
|
564
|
565
|
566
|
600
|
601
|
602
|
603
|
604
|
605
|
606
|
| 300 | 610
|
611
|
612
|
613
|
614
|
615
|
616
|
620
|
621
|
622
|
623
|
624
|
625
|
626
|
630
|
631
|
632
|
633
|
634
|
635
|
636
|
640
|
641
|
642
|
643
|
| 325 | 644
|
645
|
646
|
650
|
651
|
652
|
653
|
654
|
655
|
656
|
660
|
661
|
662
|
663
|
664
|
665
|
666
|
1000
|
1001
|
1002
|
1003
|
1004
|
1005
|
1006
|
1010
|
| 350 | 1011
|
1012
|
1013
|
1014
|
1015
|
1016
|
1020
|
1021
|
1022
|
1023
|
1024
|
1025
|
1026
|
1030
|
1031
|
1032
|
1033
|
1034
|
1035
|
1036
|
1040
|
1041
|
1042
|
1043
|
1044
|
| 375 | 1045
|
1046
|
1050
|
1051
|
1052
|
1053
|
1054
|
1055
|
1056
|
1060
|
1061
|
1062
|
1063
|
1064
|
1065
|
1066
|
1100
|
1101
|
1102
|
1103
|
1104
|
1105
|
1106
|
1110
|
1111
|
| 400 | 1112
|
1113
|
1114
|
1115
|
1116
|
1120
|
1121
|
1122
|
1123
|
1124
|
1125
|
1126
|
1130
|
1131
|
1132
|
1133
|
1134
|
1135
|
1136
|
1140
|
1141
|
1142
|
1143
|
1144
|
1145
|
| 425 | 1146
|
1150
|
1151
|
1152
|
1153
|
1154
|
1155
|
1156
|
1160
|
1161
|
1162
|
1163
|
1164
|
1165
|
1166
|
1200
|
1201
|
1202
|
1203
|
1204
|
1205
|
1206
|
1210
|
1211
|
1212
|
| 450 | 1213
|
1214
|
1215
|
1216
|
1220
|
1221
|
1222
|
1223
|
1224
|
1225
|
1226
|
1230
|
1231
|
1232
|
1233
|
1234
|
1235
|
1236
|
1240
|
1241
|
1242
|
1243
|
1244
|
1245
|
1246
|
| 475 | 1250
|
1251
|
1252
|
1253
|
1254
|
1255
|
1256
|
1260
|
1261
|
1262
|
1263
|
1264
|
1265
|
1266
|
1300
|
1301
|
1302
|
1303
|
1304
|
1305
|
1306
|
1310
|
1311
|
1312
|
1313
|