The number 11831
11831 is a twin prime (11831 and 11833 are both prime) and the 1419th prime number. Its only divisors are 1 and 11831.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11831: a twin prime (11831 and 11833 are both prime); the 1419th prime number.
- 2
11831 is prime, so its only factors are 1 and 11831. It is the 1419th prime; the next prime is 11833 and the one before is 11827.
- 3
The divisors add up to 11832; without 11831 itself that is 1, so 11831 is deficient (1 is less than 11831). Euler's totient φ(11831) = 11830 numbers up to 11831 share no factor with it.
- 4
The digits of 11831 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 174 steps to reach 1.
11831 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 11832 |
| Euler totient φ(n) | 11830 |
| Square | 139972561 |
| Cube | 1656015369191 |
| Square root | 108.770400 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 174 |
| Scientific notation | 1.1831 × |
11831 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand eight hundred and thirty-one |
| Binary (base 2) | 10111000110111 |
| Octal (base 8) | 27067 |
| Hexadecimal (base 16) | 2E37 |
| Base 3 | 121020012 |
| As time | 11831 seconds = 3 h 17 min 11 s |
Is 11831 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 5) | 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 6) | 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 11831 a prime number?
Yes. 11831 is divisible only by 1 and itself.
What are the factors of 11831?
1, 11831.
What is 11831 in binary?
10111000110111 (hexadecimal 2E37, octal 27067).
What is the square root of 11831?
About 108.7704.
Is 11831 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 11831?
11831 is a twin prime (11831 and 11833 are both prime); the 1419th prime number.