Integers 1–500 in radix 2. Colored by multiplicative persistence (max 1 in this range).
Smallest number with persistence k:
k |
0 |
1 |
smallest |
1 |
10 |
count |
1 |
499 |
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
|
10
|
11
|
100
|
101
|
110
|
111
|
1000
|
1001
|
1010
|
1011
|
1100
|
1101
|
1110
|
1111
|
10000
|
10001
|
10010
|
10011
|
10100
|
10101
|
10110
|
10111
|
11000
|
11001
|
| 25 | 11010
|
11011
|
11100
|
11101
|
11110
|
11111
|
100000
|
100001
|
100010
|
100011
|
100100
|
100101
|
100110
|
100111
|
101000
|
101001
|
101010
|
101011
|
101100
|
101101
|
101110
|
101111
|
110000
|
110001
|
110010
|
| 50 | 110011
|
110100
|
110101
|
110110
|
110111
|
111000
|
111001
|
111010
|
111011
|
111100
|
111101
|
111110
|
111111
|
1000000
|
1000001
|
1000010
|
1000011
|
1000100
|
1000101
|
1000110
|
1000111
|
1001000
|
1001001
|
1001010
|
1001011
|
| 75 | 1001100
|
1001101
|
1001110
|
1001111
|
1010000
|
1010001
|
1010010
|
1010011
|
1010100
|
1010101
|
1010110
|
1010111
|
1011000
|
1011001
|
1011010
|
1011011
|
1011100
|
1011101
|
1011110
|
1011111
|
1100000
|
1100001
|
1100010
|
1100011
|
1100100
|
| 100 | 1100101
|
1100110
|
1100111
|
1101000
|
1101001
|
1101010
|
1101011
|
1101100
|
1101101
|
1101110
|
1101111
|
1110000
|
1110001
|
1110010
|
1110011
|
1110100
|
1110101
|
1110110
|
1110111
|
1111000
|
1111001
|
1111010
|
1111011
|
1111100
|
1111101
|
| 125 | 1111110
|
1111111
|
10000000
|
10000001
|
10000010
|
10000011
|
10000100
|
10000101
|
10000110
|
10000111
|
10001000
|
10001001
|
10001010
|
10001011
|
10001100
|
10001101
|
10001110
|
10001111
|
10010000
|
10010001
|
10010010
|
10010011
|
10010100
|
10010101
|
10010110
|
| 150 | 10010111
|
10011000
|
10011001
|
10011010
|
10011011
|
10011100
|
10011101
|
10011110
|
10011111
|
10100000
|
10100001
|
10100010
|
10100011
|
10100100
|
10100101
|
10100110
|
10100111
|
10101000
|
10101001
|
10101010
|
10101011
|
10101100
|
10101101
|
10101110
|
10101111
|
| 175 | 10110000
|
10110001
|
10110010
|
10110011
|
10110100
|
10110101
|
10110110
|
10110111
|
10111000
|
10111001
|
10111010
|
10111011
|
10111100
|
10111101
|
10111110
|
10111111
|
11000000
|
11000001
|
11000010
|
11000011
|
11000100
|
11000101
|
11000110
|
11000111
|
11001000
|
| 200 | 11001001
|
11001010
|
11001011
|
11001100
|
11001101
|
11001110
|
11001111
|
11010000
|
11010001
|
11010010
|
11010011
|
11010100
|
11010101
|
11010110
|
11010111
|
11011000
|
11011001
|
11011010
|
11011011
|
11011100
|
11011101
|
11011110
|
11011111
|
11100000
|
11100001
|
| 225 | 11100010
|
11100011
|
11100100
|
11100101
|
11100110
|
11100111
|
11101000
|
11101001
|
11101010
|
11101011
|
11101100
|
11101101
|
11101110
|
11101111
|
11110000
|
11110001
|
11110010
|
11110011
|
11110100
|
11110101
|
11110110
|
11110111
|
11111000
|
11111001
|
11111010
|
| 250 | 11111011
|
11111100
|
11111101
|
11111110
|
11111111
|
100000000
|
100000001
|
100000010
|
100000011
|
100000100
|
100000101
|
100000110
|
100000111
|
100001000
|
100001001
|
100001010
|
100001011
|
100001100
|
100001101
|
100001110
|
100001111
|
100010000
|
100010001
|
100010010
|
100010011
|
| 275 | 100010100
|
100010101
|
100010110
|
100010111
|
100011000
|
100011001
|
100011010
|
100011011
|
100011100
|
100011101
|
100011110
|
100011111
|
100100000
|
100100001
|
100100010
|
100100011
|
100100100
|
100100101
|
100100110
|
100100111
|
100101000
|
100101001
|
100101010
|
100101011
|
100101100
|
| 300 | 100101101
|
100101110
|
100101111
|
100110000
|
100110001
|
100110010
|
100110011
|
100110100
|
100110101
|
100110110
|
100110111
|
100111000
|
100111001
|
100111010
|
100111011
|
100111100
|
100111101
|
100111110
|
100111111
|
101000000
|
101000001
|
101000010
|
101000011
|
101000100
|
101000101
|
| 325 | 101000110
|
101000111
|
101001000
|
101001001
|
101001010
|
101001011
|
101001100
|
101001101
|
101001110
|
101001111
|
101010000
|
101010001
|
101010010
|
101010011
|
101010100
|
101010101
|
101010110
|
101010111
|
101011000
|
101011001
|
101011010
|
101011011
|
101011100
|
101011101
|
101011110
|
| 350 | 101011111
|
101100000
|
101100001
|
101100010
|
101100011
|
101100100
|
101100101
|
101100110
|
101100111
|
101101000
|
101101001
|
101101010
|
101101011
|
101101100
|
101101101
|
101101110
|
101101111
|
101110000
|
101110001
|
101110010
|
101110011
|
101110100
|
101110101
|
101110110
|
101110111
|
| 375 | 101111000
|
101111001
|
101111010
|
101111011
|
101111100
|
101111101
|
101111110
|
101111111
|
110000000
|
110000001
|
110000010
|
110000011
|
110000100
|
110000101
|
110000110
|
110000111
|
110001000
|
110001001
|
110001010
|
110001011
|
110001100
|
110001101
|
110001110
|
110001111
|
110010000
|
| 400 | 110010001
|
110010010
|
110010011
|
110010100
|
110010101
|
110010110
|
110010111
|
110011000
|
110011001
|
110011010
|
110011011
|
110011100
|
110011101
|
110011110
|
110011111
|
110100000
|
110100001
|
110100010
|
110100011
|
110100100
|
110100101
|
110100110
|
110100111
|
110101000
|
110101001
|
| 425 | 110101010
|
110101011
|
110101100
|
110101101
|
110101110
|
110101111
|
110110000
|
110110001
|
110110010
|
110110011
|
110110100
|
110110101
|
110110110
|
110110111
|
110111000
|
110111001
|
110111010
|
110111011
|
110111100
|
110111101
|
110111110
|
110111111
|
111000000
|
111000001
|
111000010
|
| 450 | 111000011
|
111000100
|
111000101
|
111000110
|
111000111
|
111001000
|
111001001
|
111001010
|
111001011
|
111001100
|
111001101
|
111001110
|
111001111
|
111010000
|
111010001
|
111010010
|
111010011
|
111010100
|
111010101
|
111010110
|
111010111
|
111011000
|
111011001
|
111011010
|
111011011
|
| 475 | 111011100
|
111011101
|
111011110
|
111011111
|
111100000
|
111100001
|
111100010
|
111100011
|
111100100
|
111100101
|
111100110
|
111100111
|
111101000
|
111101001
|
111101010
|
111101011
|
111101100
|
111101101
|
111101110
|
111101111
|
111110000
|
111110001
|
111110010
|
111110011
|
111110100
|