The number 47713
47713 is a twin prime (47711 and 47713 are both prime) and the 4919th prime number. Its only divisors are 1 and 47713.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47713: a twin prime (47711 and 47713 are both prime); the 4919th prime number.
- 2
47713 is prime, so its only factors are 1 and 47713. It is the 4919th prime; the next prime is 47717 and the one before is 47711.
- 3
The divisors add up to 47714; without 47713 itself that is 1, so 47713 is deficient (1 is less than 47713). Euler's totient φ(47713) = 47712 numbers up to 47713 share no factor with it.
- 4
The digits of 47713 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
47713 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 47714 |
| Euler totient φ(n) | 47712 |
| Square | 2276530369 |
| Cube | 108620093496097 |
| Square root | 218.433056 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.7713 × |
47713 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred and thirteen |
| Binary (base 2) | 1011101001100001 |
| Octal (base 8) | 135141 |
| Hexadecimal (base 16) | BA61 |
| Base 3 | 2102110011 |
| As time | 47713 seconds = 13 h 15 min 13 s |
Is 47713 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47713 a prime number?
Yes. 47713 is divisible only by 1 and itself.
What are the factors of 47713?
1, 47713.
What is 47713 in binary?
1011101001100001 (hexadecimal BA61, octal 135141).
What is the square root of 47713?
About 218.4331.
Is 47713 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 47713?
47713 is a twin prime (47711 and 47713 are both prime); the 4919th prime number.