The number 10711
10711 is a twin prime (10709 and 10711 are both prime) and the 1306th prime number. Its only divisors are 1 and 10711.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10711: a twin prime (10709 and 10711 are both prime); the 1306th prime number.
- 2
10711 is prime, so its only factors are 1 and 10711. It is the 1306th prime; the next prime is 10723 and the one before is 10709.
- 3
The divisors add up to 10712; without 10711 itself that is 1, so 10711 is deficient (1 is less than 10711). Euler's totient φ(10711) = 10710 numbers up to 10711 share no factor with it.
- 4
The digits of 10711 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 99 steps to reach 1.
10711 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 10712 |
| Euler totient φ(n) | 10710 |
| Square | 114725521 |
| Cube | 1228825055431 |
| Square root | 103.493961 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 99 |
| Scientific notation | 1.0711 × |
10711 in other forms
| Form | Value |
|---|---|
| In words | ten thousand seven hundred and eleven |
| Binary (base 2) | 10100111010111 |
| Octal (base 8) | 24727 |
| Hexadecimal (base 16) | 29D7 |
| Base 3 | 112200201 |
| As time | 10711 seconds = 2 h 58 min 31 s |
Is 10711 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 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 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 8) | 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 10711 a prime number?
Yes. 10711 is divisible only by 1 and itself.
What are the factors of 10711?
1, 10711.
What is 10711 in binary?
10100111010111 (hexadecimal 29D7, octal 24727).
What is the square root of 10711?
About 103.4940.
Is 10711 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 10711?
10711 is a twin prime (10709 and 10711 are both prime); the 1306th prime number.