Integers 1–500 in radix 3. Colored by multiplicative persistence (max 3 in this range).
Smallest number with persistence k:
k |
0 |
1 |
2 |
3 |
smallest |
1 |
10 |
22 |
222 |
count |
2 |
430 |
43 |
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
|
10
|
11
|
12
|
20
|
21
|
22
|
100
|
101
|
102
|
110
|
111
|
112
|
120
|
121
|
122
|
200
|
201
|
202
|
210
|
211
|
212
|
220
|
221
|
| 25 | 222
|
1000
|
1001
|
1002
|
1010
|
1011
|
1012
|
1020
|
1021
|
1022
|
1100
|
1101
|
1102
|
1110
|
1111
|
1112
|
1120
|
1121
|
1122
|
1200
|
1201
|
1202
|
1210
|
1211
|
1212
|
| 50 | 1220
|
1221
|
1222
|
2000
|
2001
|
2002
|
2010
|
2011
|
2012
|
2020
|
2021
|
2022
|
2100
|
2101
|
2102
|
2110
|
2111
|
2112
|
2120
|
2121
|
2122
|
2200
|
2201
|
2202
|
2210
|
| 75 | 2211
|
2212
|
2220
|
2221
|
2222
|
10000
|
10001
|
10002
|
10010
|
10011
|
10012
|
10020
|
10021
|
10022
|
10100
|
10101
|
10102
|
10110
|
10111
|
10112
|
10120
|
10121
|
10122
|
10200
|
10201
|
| 100 | 10202
|
10210
|
10211
|
10212
|
10220
|
10221
|
10222
|
11000
|
11001
|
11002
|
11010
|
11011
|
11012
|
11020
|
11021
|
11022
|
11100
|
11101
|
11102
|
11110
|
11111
|
11112
|
11120
|
11121
|
11122
|
| 125 | 11200
|
11201
|
11202
|
11210
|
11211
|
11212
|
11220
|
11221
|
11222
|
12000
|
12001
|
12002
|
12010
|
12011
|
12012
|
12020
|
12021
|
12022
|
12100
|
12101
|
12102
|
12110
|
12111
|
12112
|
12120
|
| 150 | 12121
|
12122
|
12200
|
12201
|
12202
|
12210
|
12211
|
12212
|
12220
|
12221
|
12222
|
20000
|
20001
|
20002
|
20010
|
20011
|
20012
|
20020
|
20021
|
20022
|
20100
|
20101
|
20102
|
20110
|
20111
|
| 175 | 20112
|
20120
|
20121
|
20122
|
20200
|
20201
|
20202
|
20210
|
20211
|
20212
|
20220
|
20221
|
20222
|
21000
|
21001
|
21002
|
21010
|
21011
|
21012
|
21020
|
21021
|
21022
|
21100
|
21101
|
21102
|
| 200 | 21110
|
21111
|
21112
|
21120
|
21121
|
21122
|
21200
|
21201
|
21202
|
21210
|
21211
|
21212
|
21220
|
21221
|
21222
|
22000
|
22001
|
22002
|
22010
|
22011
|
22012
|
22020
|
22021
|
22022
|
22100
|
| 225 | 22101
|
22102
|
22110
|
22111
|
22112
|
22120
|
22121
|
22122
|
22200
|
22201
|
22202
|
22210
|
22211
|
22212
|
22220
|
22221
|
22222
|
100000
|
100001
|
100002
|
100010
|
100011
|
100012
|
100020
|
100021
|
| 250 | 100022
|
100100
|
100101
|
100102
|
100110
|
100111
|
100112
|
100120
|
100121
|
100122
|
100200
|
100201
|
100202
|
100210
|
100211
|
100212
|
100220
|
100221
|
100222
|
101000
|
101001
|
101002
|
101010
|
101011
|
101012
|
| 275 | 101020
|
101021
|
101022
|
101100
|
101101
|
101102
|
101110
|
101111
|
101112
|
101120
|
101121
|
101122
|
101200
|
101201
|
101202
|
101210
|
101211
|
101212
|
101220
|
101221
|
101222
|
102000
|
102001
|
102002
|
102010
|
| 300 | 102011
|
102012
|
102020
|
102021
|
102022
|
102100
|
102101
|
102102
|
102110
|
102111
|
102112
|
102120
|
102121
|
102122
|
102200
|
102201
|
102202
|
102210
|
102211
|
102212
|
102220
|
102221
|
102222
|
110000
|
110001
|
| 325 | 110002
|
110010
|
110011
|
110012
|
110020
|
110021
|
110022
|
110100
|
110101
|
110102
|
110110
|
110111
|
110112
|
110120
|
110121
|
110122
|
110200
|
110201
|
110202
|
110210
|
110211
|
110212
|
110220
|
110221
|
110222
|
| 350 | 111000
|
111001
|
111002
|
111010
|
111011
|
111012
|
111020
|
111021
|
111022
|
111100
|
111101
|
111102
|
111110
|
111111
|
111112
|
111120
|
111121
|
111122
|
111200
|
111201
|
111202
|
111210
|
111211
|
111212
|
111220
|
| 375 | 111221
|
111222
|
112000
|
112001
|
112002
|
112010
|
112011
|
112012
|
112020
|
112021
|
112022
|
112100
|
112101
|
112102
|
112110
|
112111
|
112112
|
112120
|
112121
|
112122
|
112200
|
112201
|
112202
|
112210
|
112211
|
| 400 | 112212
|
112220
|
112221
|
112222
|
120000
|
120001
|
120002
|
120010
|
120011
|
120012
|
120020
|
120021
|
120022
|
120100
|
120101
|
120102
|
120110
|
120111
|
120112
|
120120
|
120121
|
120122
|
120200
|
120201
|
120202
|
| 425 | 120210
|
120211
|
120212
|
120220
|
120221
|
120222
|
121000
|
121001
|
121002
|
121010
|
121011
|
121012
|
121020
|
121021
|
121022
|
121100
|
121101
|
121102
|
121110
|
121111
|
121112
|
121120
|
121121
|
121122
|
121200
|
| 450 | 121201
|
121202
|
121210
|
121211
|
121212
|
121220
|
121221
|
121222
|
122000
|
122001
|
122002
|
122010
|
122011
|
122012
|
122020
|
122021
|
122022
|
122100
|
122101
|
122102
|
122110
|
122111
|
122112
|
122120
|
122121
|
| 475 | 122122
|
122200
|
122201
|
122202
|
122210
|
122211
|
122212
|
122220
|
122221
|
122222
|
200000
|
200001
|
200002
|
200010
|
200011
|
200012
|
200020
|
200021
|
200022
|
200100
|
200101
|
200102
|
200110
|
200111
|
200112
|