The number 71711
71711 is a twin prime (71711 and 71713 are both prime) and the 7099th prime number. Its only divisors are 1 and 71711.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71711: a twin prime (71711 and 71713 are both prime); the 7099th prime number.
- 2
71711 is prime, so its only factors are 1 and 71711. It is the 7099th prime; the next prime is 71713 and the one before is 71707.
- 3
The divisors add up to 71712; without 71711 itself that is 1, so 71711 is deficient (1 is less than 71711). Euler's totient φ(71711) = 71710 numbers up to 71711 share no factor with it.
- 4
The digits of 71711 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
71711 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 71712 |
| Euler totient φ(n) | 71710 |
| Square | 5142467521 |
| Cube | 368771488398431 |
| Square root | 267.789096 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.1711 × |
71711 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand seven hundred and eleven |
| Binary (base 2) | 10001100000011111 |
| Octal (base 8) | 214037 |
| Hexadecimal (base 16) | 1181F |
| Base 3 | 10122100222 |
| As time | 71711 seconds = 19 h 55 min 11 s |
Is 71711 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 3) | 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 8) | 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 71711 a prime number?
Yes. 71711 is divisible only by 1 and itself.
What are the factors of 71711?
1, 71711.
What is 71711 in binary?
10001100000011111 (hexadecimal 1181F, octal 214037).
What is the square root of 71711?
About 267.7891.
Is 71711 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 71711?
71711 is a twin prime (71711 and 71713 are both prime); the 7099th prime number.