The number 13711
13711 is a twin prime (13709 and 13711 are both prime) and the 1622nd prime number. Its only divisors are 1 and 13711.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13711: a twin prime (13709 and 13711 are both prime); the 1622nd prime number.
- 2
13711 is prime, so its only factors are 1 and 13711. It is the 1622nd prime; the next prime is 13721 and the one before is 13709.
- 3
The divisors add up to 13712; without 13711 itself that is 1, so 13711 is deficient (1 is less than 13711). Euler's totient φ(13711) = 13710 numbers up to 13711 share no factor with it.
- 4
The digits of 13711 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 89 steps to reach 1.
13711 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13712 |
| Euler totient φ(n) | 13710 |
| Square | 187991521 |
| Cube | 2577551744431 |
| Square root | 117.093979 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.3711 × |
13711 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and eleven |
| Binary (base 2) | 11010110001111 |
| Octal (base 8) | 32617 |
| Hexadecimal (base 16) | 358F |
| Base 3 | 200210211 |
| As time | 13711 seconds = 3 h 48 min 31 s |
Is 13711 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 5) | 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 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 13711 a prime number?
Yes. 13711 is divisible only by 1 and itself.
What are the factors of 13711?
1, 13711.
What is 13711 in binary?
11010110001111 (hexadecimal 358F, octal 32617).
What is the square root of 13711?
About 117.0940.
Is 13711 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 13711?
13711 is a twin prime (13709 and 13711 are both prime); the 1622nd prime number.