The number 11731
11731 is the 1408th prime number. Its only divisors are 1 and 11731.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11731: the 1408th prime number.
- 2
11731 is prime, so its only factors are 1 and 11731. It is the 1408th prime; the next prime is 11743 and the one before is 11719.
- 3
The divisors add up to 11732; without 11731 itself that is 1, so 11731 is deficient (1 is less than 11731). Euler's totient φ(11731) = 11730 numbers up to 11731 share no factor with it.
- 4
The digits of 11731 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 104 steps to reach 1.
11731 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 11732 |
| Euler totient φ(n) | 11730 |
| Square | 137616361 |
| Cube | 1614377530891 |
| Square root | 108.309741 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 104 |
| Scientific notation | 1.1731 × |
11731 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand seven hundred and thirty-one |
| Binary (base 2) | 10110111010011 |
| Octal (base 8) | 26723 |
| Hexadecimal (base 16) | 2DD3 |
| Base 3 | 121002111 |
| As time | 11731 seconds = 3 h 15 min 31 s |
Is 11731 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 6) | 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 3) | 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 5) | 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 11731 a prime number?
Yes. 11731 is divisible only by 1 and itself.
What are the factors of 11731?
1, 11731.
What is 11731 in binary?
10110111010011 (hexadecimal 2DD3, octal 26723).
What is the square root of 11731?
About 108.3097.
Is 11731 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 11731?
11731 is the 1408th prime number.