The number 57809
57809 is the 5858th prime number. Its only divisors are 1 and 57809.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57809: the 5858th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
57809 is prime, so its only factors are 1 and 57809. It is the 5858th prime; the next prime is 57829 and the one before is 57803.
- 3
The divisors add up to 57810; without 57809 itself that is 1, so 57809 is deficient (1 is less than 57809). Euler's totient φ(57809) = 57808 numbers up to 57809 share no factor with it.
- 4
The digits of 57809 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
57809 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 57810 |
| Euler totient φ(n) | 57808 |
| Square | 3341880481 |
| Cube | 193190768726129 |
| Square root | 240.435022 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.7809 × |
57809 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand eight hundred and nine |
| Binary (base 2) | 1110000111010001 |
| Octal (base 8) | 160721 |
| Hexadecimal (base 16) | E1D1 |
| Base 3 | 2221022002 |
| As time | 57809 seconds = 16 h 3 min 29 s |
Is 57809 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 4) | 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 3) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57809 a prime number?
Yes. 57809 is divisible only by 1 and itself.
What are the factors of 57809?
1, 57809.
What is 57809 in binary?
1110000111010001 (hexadecimal E1D1, octal 160721).
What is the square root of 57809?
About 240.4350.
Is 57809 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 57809?
57809 is the 5858th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.