How rare is 2,223?
2,223
Legendary · Top 0.01%
- Total score
- 505 points
- Rank
- 3 of 1,000,000
- Top
- 0.01%
- Beats
- 99.99% of numbers
- Ties
- No other number has this score
Every number has the same 1-in-1,000,000 chance of being rolled. This number beats 99.99% of all numbers; no other number scores exactly the same.
1 away from a Solid Block: 2,222
2,223 = 3² × 13 × 19
Why 2,223 scores this way
2,223 is the highest-scoring number without a culture badge, at 505 points. It is a Kaprekar number: 2,223² = 4,941,729, and 494 + 1,729 = 2,223. Its digits add up to 9, use only the primes 2 and 3, read as the time 22:23 and appear in the first 1,000 digits of φ.
Badges 2,223 earns
8 badges found. Only the highest-scoring badge in each family counts; the others are shown for completeness.
| Badge | Family | What it means | Odds | Points | Score |
|---|---|---|---|---|---|
| Nine Sum | Digits | The digits add up to exactly 9, like 1,251 (1 + 2 + 5 + 1) | 1 in 500 | 90 | Counts |
| Triple Stack | Digits | The same digit three times in a row, like 52,229 | 1 in 28 | 48 | Shown only |
| Double Take | Digits | The same digit twice in a row, like 4,778 | about 1 in 2.5 | 13 | Shown only |
| Prime Parts | Primes | Every digit is 2, 3, 5 or 7 (the one-digit primes), like 7,253 | 1 in 183 | 75 | Counts |
| Kaprekar's Trick | Shapes | Square it, cut the answer in two, and the halves add back up to it, like 45 (45 × 45 = 2025, and 20 + 25 = 45) | 1 in 20,000 | 143 | Counts |
| Digit Divider | Shapes | Divides evenly by the sum of its digits, like 81 (8 + 1 = 9, and 81 ÷ 9 = 9) | 1 in 10 | 34 | Shown only |
| Golden Crumb | Constants | Its 4 digits appear in a row in the first 1,000 digits of the golden ratio (1.61803…), like 6,180 | 1 in 1,168 | 102 | Counts |
| Clock Face | Calendar and clock | Reads as a time on a 24-hour clock, like 1225 (12:25) or 945 (9:45) | 1 in 725 | 95 | Counts |
| Total score | 5 counting badges | 505 | |||