The number 57713
57713 is the 5846th prime number. Its only divisors are 1 and 57713.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57713: the 5846th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
57713 is prime, so its only factors are 1 and 57713. It is the 5846th prime; the next prime is 57719 and the one before is 57709.
- 3
The divisors add up to 57714; without 57713 itself that is 1, so 57713 is deficient (1 is less than 57713). Euler's totient φ(57713) = 57712 numbers up to 57713 share no factor with it.
- 4
The digits of 57713 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
57713 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 57714 |
| Euler totient φ(n) | 57712 |
| Square | 3330790369 |
| Cube | 192229904566097 |
| Square root | 240.235301 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.7713 × |
57713 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand seven hundred and thirteen |
| Binary (base 2) | 1110000101110001 |
| Octal (base 8) | 160561 |
| Hexadecimal (base 16) | E171 |
| Base 3 | 2221011112 |
| As time | 57713 seconds = 16 h 1 min 53 s |
Is 57713 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 5) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57713 a prime number?
Yes. 57713 is divisible only by 1 and itself.
What are the factors of 57713?
1, 57713.
What is 57713 in binary?
1110000101110001 (hexadecimal E171, octal 160561).
What is the square root of 57713?
About 240.2353.
Is 57713 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 57713?
57713 is the 5846th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.