The number 2711
2711 is a twin prime (2711 and 2713 are both prime) and the 395th prime number. Its only divisors are 1 and 2711.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2711: a twin prime (2711 and 2713 are both prime); the 395th prime number.
- 2
2711 is prime, so its only factors are 1 and 2711. It is the 395th prime; the next prime is 2713 and the one before is 2707.
- 3
The divisors add up to 2712; without 2711 itself that is 1, so 2711 is deficient (1 is less than 2711). Euler's totient φ(2711) = 2710 numbers up to 2711 share no factor with it.
- 4
The digits of 2711 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.
2711 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 2712 |
| Euler totient φ(n) | 2710 |
| Square | 7349521 |
| Cube | 19924551431 |
| Square root | 52.067264 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 115 |
| Scientific notation | 2.711 × |
2711 in other forms
| Form | Value |
|---|---|
| In words | two thousand seven hundred and eleven |
| Roman numerals | MMDCCXI |
| Binary (base 2) | 101010010111 |
| Octal (base 8) | 5227 |
| Hexadecimal (base 16) | A97 |
| Base 3 | 10201102 |
| As time | 2711 seconds = 45 min 11 s |
Is 2711 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 2) | 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 2) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2711 a prime number?
Yes. 2711 is divisible only by 1 and itself.
What are the factors of 2711?
1, 2711.
What is 2711 in binary?
101010010111 (hexadecimal A97, octal 5227).
What is the square root of 2711?
About 52.0673.
What is 2711 in Roman numerals?
MMDCCXI.
Is 2711 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 2711?
2711 is a twin prime (2711 and 2713 are both prime); the 395th prime number.