The number 10831
10831 is the 1316th prime number. Its only divisors are 1 and 10831.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10831: the 1316th prime number.
- 2
10831 is prime, so its only factors are 1 and 10831. It is the 1316th prime; the next prime is 10837 and the one before is 10799.
- 3
The divisors add up to 10832; without 10831 itself that is 1, so 10831 is deficient (1 is less than 10831). Euler's totient φ(10831) = 10830 numbers up to 10831 share no factor with it.
- 4
The digits of 10831 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
10831 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 10832 |
| Euler totient φ(n) | 10830 |
| Square | 117310561 |
| Cube | 1270590686191 |
| Square root | 104.072090 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.0831 × |
10831 in other forms
| Form | Value |
|---|---|
| In words | ten thousand eight hundred and thirty-one |
| Binary (base 2) | 10101001001111 |
| Octal (base 8) | 25117 |
| Hexadecimal (base 16) | 2A4F |
| Base 3 | 112212011 |
| As time | 10831 seconds = 3 h 0 min 31 s |
Is 10831 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 2) | 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 4) | 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 10831 a prime number?
Yes. 10831 is divisible only by 1 and itself.
What are the factors of 10831?
1, 10831.
What is 10831 in binary?
10101001001111 (hexadecimal 2A4F, octal 25117).
What is the square root of 10831?
About 104.0721.
Is 10831 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 10831?
10831 is the 1316th prime number.