The number 57089
57089 is the 5789th prime number. Its only divisors are 1 and 57089.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57089: the 5789th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
57089 is prime, so its only factors are 1 and 57089. It is the 5789th prime; the next prime is 57097 and the one before is 57077.
- 3
The divisors add up to 57090; without 57089 itself that is 1, so 57089 is deficient (1 is less than 57089). Euler's totient φ(57089) = 57088 numbers up to 57089 share no factor with it.
- 4
The digits of 57089 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 52 steps to reach 1.
57089 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 57090 |
| Euler totient φ(n) | 57088 |
| Square | 3259153921 |
| Cube | 186061838195969 |
| Square root | 238.933045 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 52 |
| Scientific notation | 5.7089 × |
57089 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand and eighty-nine |
| Binary (base 2) | 1101111100000001 |
| Octal (base 8) | 157401 |
| Hexadecimal (base 16) | DF01 |
| Base 3 | 2220022102 |
| As time | 57089 seconds = 15 h 51 min 29 s |
Is 57089 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 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 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 10) | 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 57089 a prime number?
Yes. 57089 is divisible only by 1 and itself.
What are the factors of 57089?
1, 57089.
What is 57089 in binary?
1101111100000001 (hexadecimal DF01, octal 157401).
What is the square root of 57089?
About 238.9330.
Is 57089 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 57089?
57089 is the 5789th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.