The number 57143
57143 is the 5795th prime number. Its only divisors are 1 and 57143.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57143: the 5795th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
57143 is prime, so its only factors are 1 and 57143. It is the 5795th prime; the next prime is 57149 and the one before is 57139.
- 3
The divisors add up to 57144; without 57143 itself that is 1, so 57143 is deficient (1 is less than 57143). Euler's totient φ(57143) = 57142 numbers up to 57143 share no factor with it.
- 4
The digits of 57143 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 52 steps to reach 1.
57143 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 57144 |
| Euler totient φ(n) | 57142 |
| Square | 3265322449 |
| Cube | 186590320703207 |
| Square root | 239.046021 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 52 |
| Scientific notation | 5.7143 × |
57143 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand one hundred and forty-three |
| Binary (base 2) | 1101111100110111 |
| Octal (base 8) | 157467 |
| Hexadecimal (base 16) | DF37 |
| Base 3 | 2220101102 |
| As time | 57143 seconds = 15 h 52 min 23 s |
Is 57143 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 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 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 57143 a prime number?
Yes. 57143 is divisible only by 1 and itself.
What are the factors of 57143?
1, 57143.
What is 57143 in binary?
1101111100110111 (hexadecimal DF37, octal 157467).
What is the square root of 57143?
About 239.0460.
Is 57143 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 57143?
57143 is the 5795th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.