The number 5711
5711 is the 752nd prime number. Its only divisors are 1 and 5711.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5711: the 752nd prime number.
- 2
5711 is prime, so its only factors are 1 and 5711. It is the 752nd prime; the next prime is 5717 and the one before is 5701.
- 3
The divisors add up to 5712; without 5711 itself that is 1, so 5711 is deficient (1 is less than 5711). Euler's totient φ(5711) = 5710 numbers up to 5711 share no factor with it.
- 4
The digits of 5711 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 129 steps to reach 1.
5711 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5712 |
| Euler totient φ(n) | 5710 |
| Square | 32615521 |
| Cube | 186267240431 |
| Square root | 75.571159 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 129 |
| Scientific notation | 5.711 × |
5711 in other forms
| Form | Value |
|---|---|
| In words | five thousand seven hundred and eleven |
| Binary (base 2) | 1011001001111 |
| Octal (base 8) | 13117 |
| Hexadecimal (base 16) | 164F |
| Base 3 | 21211112 |
| As time | 5711 seconds = 1 h 35 min 11 s |
Is 5711 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 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 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 2) | 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 5711 a prime number?
Yes. 5711 is divisible only by 1 and itself.
What are the factors of 5711?
1, 5711.
What is 5711 in binary?
1011001001111 (hexadecimal 164F, octal 13117).
What is the square root of 5711?
About 75.5712.
Is 5711 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 5711?
5711 is the 752nd prime number.