Integers 1–500 in radix 6. Colored by multiplicative persistence (max 4 in this range).
Smallest number with persistence k:
k |
0 |
1 |
2 |
3 |
4 |
smallest |
1 |
10 |
23 |
35 |
444 |
count |
5 |
243 |
182 |
62 |
8 |
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
|
10
|
11
|
12
|
13
|
14
|
15
|
20
|
21
|
22
|
23
|
24
|
25
|
30
|
31
|
32
|
33
|
34
|
35
|
40
|
41
|
| 25 | 42
|
43
|
44
|
45
|
50
|
51
|
52
|
53
|
54
|
55
|
100
|
101
|
102
|
103
|
104
|
105
|
110
|
111
|
112
|
113
|
114
|
115
|
120
|
121
|
122
|
| 50 | 123
|
124
|
125
|
130
|
131
|
132
|
133
|
134
|
135
|
140
|
141
|
142
|
143
|
144
|
145
|
150
|
151
|
152
|
153
|
154
|
155
|
200
|
201
|
202
|
203
|
| 75 | 204
|
205
|
210
|
211
|
212
|
213
|
214
|
215
|
220
|
221
|
222
|
223
|
224
|
225
|
230
|
231
|
232
|
233
|
234
|
235
|
240
|
241
|
242
|
243
|
244
|
| 100 | 245
|
250
|
251
|
252
|
253
|
254
|
255
|
300
|
301
|
302
|
303
|
304
|
305
|
310
|
311
|
312
|
313
|
314
|
315
|
320
|
321
|
322
|
323
|
324
|
325
|
| 125 | 330
|
331
|
332
|
333
|
334
|
335
|
340
|
341
|
342
|
343
|
344
|
345
|
350
|
351
|
352
|
353
|
354
|
355
|
400
|
401
|
402
|
403
|
404
|
405
|
410
|
| 150 | 411
|
412
|
413
|
414
|
415
|
420
|
421
|
422
|
423
|
424
|
425
|
430
|
431
|
432
|
433
|
434
|
435
|
440
|
441
|
442
|
443
|
444
|
445
|
450
|
451
|
| 175 | 452
|
453
|
454
|
455
|
500
|
501
|
502
|
503
|
504
|
505
|
510
|
511
|
512
|
513
|
514
|
515
|
520
|
521
|
522
|
523
|
524
|
525
|
530
|
531
|
532
|
| 200 | 533
|
534
|
535
|
540
|
541
|
542
|
543
|
544
|
545
|
550
|
551
|
552
|
553
|
554
|
555
|
1000
|
1001
|
1002
|
1003
|
1004
|
1005
|
1010
|
1011
|
1012
|
1013
|
| 225 | 1014
|
1015
|
1020
|
1021
|
1022
|
1023
|
1024
|
1025
|
1030
|
1031
|
1032
|
1033
|
1034
|
1035
|
1040
|
1041
|
1042
|
1043
|
1044
|
1045
|
1050
|
1051
|
1052
|
1053
|
1054
|
| 250 | 1055
|
1100
|
1101
|
1102
|
1103
|
1104
|
1105
|
1110
|
1111
|
1112
|
1113
|
1114
|
1115
|
1120
|
1121
|
1122
|
1123
|
1124
|
1125
|
1130
|
1131
|
1132
|
1133
|
1134
|
1135
|
| 275 | 1140
|
1141
|
1142
|
1143
|
1144
|
1145
|
1150
|
1151
|
1152
|
1153
|
1154
|
1155
|
1200
|
1201
|
1202
|
1203
|
1204
|
1205
|
1210
|
1211
|
1212
|
1213
|
1214
|
1215
|
1220
|
| 300 | 1221
|
1222
|
1223
|
1224
|
1225
|
1230
|
1231
|
1232
|
1233
|
1234
|
1235
|
1240
|
1241
|
1242
|
1243
|
1244
|
1245
|
1250
|
1251
|
1252
|
1253
|
1254
|
1255
|
1300
|
1301
|
| 325 | 1302
|
1303
|
1304
|
1305
|
1310
|
1311
|
1312
|
1313
|
1314
|
1315
|
1320
|
1321
|
1322
|
1323
|
1324
|
1325
|
1330
|
1331
|
1332
|
1333
|
1334
|
1335
|
1340
|
1341
|
1342
|
| 350 | 1343
|
1344
|
1345
|
1350
|
1351
|
1352
|
1353
|
1354
|
1355
|
1400
|
1401
|
1402
|
1403
|
1404
|
1405
|
1410
|
1411
|
1412
|
1413
|
1414
|
1415
|
1420
|
1421
|
1422
|
1423
|
| 375 | 1424
|
1425
|
1430
|
1431
|
1432
|
1433
|
1434
|
1435
|
1440
|
1441
|
1442
|
1443
|
1444
|
1445
|
1450
|
1451
|
1452
|
1453
|
1454
|
1455
|
1500
|
1501
|
1502
|
1503
|
1504
|
| 400 | 1505
|
1510
|
1511
|
1512
|
1513
|
1514
|
1515
|
1520
|
1521
|
1522
|
1523
|
1524
|
1525
|
1530
|
1531
|
1532
|
1533
|
1534
|
1535
|
1540
|
1541
|
1542
|
1543
|
1544
|
1545
|
| 425 | 1550
|
1551
|
1552
|
1553
|
1554
|
1555
|
2000
|
2001
|
2002
|
2003
|
2004
|
2005
|
2010
|
2011
|
2012
|
2013
|
2014
|
2015
|
2020
|
2021
|
2022
|
2023
|
2024
|
2025
|
2030
|
| 450 | 2031
|
2032
|
2033
|
2034
|
2035
|
2040
|
2041
|
2042
|
2043
|
2044
|
2045
|
2050
|
2051
|
2052
|
2053
|
2054
|
2055
|
2100
|
2101
|
2102
|
2103
|
2104
|
2105
|
2110
|
2111
|
| 475 | 2112
|
2113
|
2114
|
2115
|
2120
|
2121
|
2122
|
2123
|
2124
|
2125
|
2130
|
2131
|
2132
|
2133
|
2134
|
2135
|
2140
|
2141
|
2142
|
2143
|
2144
|
2145
|
2150
|
2151
|
2152
|