The number 4231
4231 is a twin prime (4229 and 4231 are both prime) and the 580th prime number. Its only divisors are 1 and 4231.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4231: a twin prime (4229 and 4231 are both prime); the 580th prime number.
- 2
4231 is prime, so its only factors are 1 and 4231. It is the 580th prime; the next prime is 4241 and the one before is 4229.
- 3
The divisors add up to 4232; without 4231 itself that is 1, so 4231 is deficient (1 is less than 4231). Euler's totient φ(4231) = 4230 numbers up to 4231 share no factor with it.
- 4
The digits of 4231 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
4231 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 4232 |
| Euler totient φ(n) | 4230 |
| Square | 17901361 |
| Cube | 75740658391 |
| Square root | 65.046137 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 38 |
| Scientific notation | 4.231 × |
4231 in other forms
| Form | Value |
|---|---|
| In words | four thousand two hundred and thirty-one |
| Binary (base 2) | 1000010000111 |
| Octal (base 8) | 10207 |
| Hexadecimal (base 16) | 1087 |
| Base 3 | 12210201 |
| As time | 4231 seconds = 1 h 10 min 31 s |
Is 4231 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 1) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4231 a prime number?
Yes. 4231 is divisible only by 1 and itself.
What are the factors of 4231?
1, 4231.
What is 4231 in binary?
1000010000111 (hexadecimal 1087, octal 10207).
What is the square root of 4231?
About 65.0461.
Is 4231 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 4231?
4231 is a twin prime (4229 and 4231 are both prime); the 580th prime number.