The number 20231
20231 is a twin prime (20231 and 20233 are both prime) and the 2287th prime number. Its only divisors are 1 and 20231.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20231: a twin prime (20231 and 20233 are both prime); the 2287th prime number.
- 2
20231 is prime, so its only factors are 1 and 20231. It is the 2287th prime; the next prime is 20233 and the one before is 20219.
- 3
The divisors add up to 20232; without 20231 itself that is 1, so 20231 is deficient (1 is less than 20231). Euler's totient φ(20231) = 20230 numbers up to 20231 share no factor with it.
- 4
The digits of 20231 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 136 steps to reach 1.
20231 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 20232 |
| Euler totient φ(n) | 20230 |
| Square | 409293361 |
| Cube | 8280413986391 |
| Square root | 142.235720 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 136 |
| Scientific notation | 2.0231 × |
20231 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand two hundred and thirty-one |
| Binary (base 2) | 100111100000111 |
| Octal (base 8) | 47407 |
| Hexadecimal (base 16) | 4F07 |
| Base 3 | 1000202022 |
| As time | 20231 seconds = 5 h 37 min 11 s |
Is 20231 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20231 a prime number?
Yes. 20231 is divisible only by 1 and itself.
What are the factors of 20231?
1, 20231.
What is 20231 in binary?
100111100000111 (hexadecimal 4F07, octal 47407).
What is the square root of 20231?
About 142.2357.
Is 20231 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 20231?
20231 is a twin prime (20231 and 20233 are both prime); the 2287th prime number.