The number 57131
57131 is the 5793rd prime number. Its only divisors are 1 and 57131.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57131: the 5793rd prime number.
- 2
57131 is prime, so its only factors are 1 and 57131. It is the 5793rd prime; the next prime is 57139 and the one before is 57119.
- 3
The divisors add up to 57132; without 57131 itself that is 1, so 57131 is deficient (1 is less than 57131). Euler's totient φ(57131) = 57130 numbers up to 57131 share no factor with it.
- 4
The digits of 57131 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 104 steps to reach 1.
57131 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 57132 |
| Euler totient φ(n) | 57130 |
| Square | 3263951161 |
| Cube | 186472793779091 |
| Square root | 239.020920 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.7131 × |
57131 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand one hundred and thirty-one |
| Binary (base 2) | 1101111100101011 |
| Octal (base 8) | 157453 |
| Hexadecimal (base 16) | DF2B |
| Base 3 | 2220100222 |
| As time | 57131 seconds = 15 h 52 min 11 s |
Is 57131 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 4) | 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 3) | 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 8) | 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 57131 a prime number?
Yes. 57131 is divisible only by 1 and itself.
What are the factors of 57131?
1, 57131.
What is 57131 in binary?
1101111100101011 (hexadecimal DF2B, octal 157453).
What is the square root of 57131?
About 239.0209.
Is 57131 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 57131?
57131 is the 5793rd prime number.