The number 47711
47711 is a twin prime (47711 and 47713 are both prime) and the 4918th prime number. Its only divisors are 1 and 47711.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47711: a twin prime (47711 and 47713 are both prime); the 4918th prime number.
- 2
47711 is prime, so its only factors are 1 and 47711. It is the 4918th prime; the next prime is 47713 and the one before is 47701.
- 3
The divisors add up to 47712; without 47711 itself that is 1, so 47711 is deficient (1 is less than 47711). Euler's totient φ(47711) = 47710 numbers up to 47711 share no factor with it.
- 4
The digits of 47711 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
47711 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 47712 |
| Euler totient φ(n) | 47710 |
| Square | 2276339521 |
| Cube | 108606434886431 |
| Square root | 218.428478 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.7711 × |
47711 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred and eleven |
| Binary (base 2) | 1011101001011111 |
| Octal (base 8) | 135137 |
| Hexadecimal (base 16) | BA5F |
| Base 3 | 2102110002 |
| As time | 47711 seconds = 13 h 15 min 11 s |
Is 47711 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 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 4) | 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 47711 a prime number?
Yes. 47711 is divisible only by 1 and itself.
What are the factors of 47711?
1, 47711.
What is 47711 in binary?
1011101001011111 (hexadecimal BA5F, octal 135137).
What is the square root of 47711?
About 218.4285.
Is 47711 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 47711?
47711 is a twin prime (47711 and 47713 are both prime); the 4918th prime number.