The number 57389
57389 is the 5820th prime number. Its only divisors are 1 and 57389.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57389: the 5820th prime number.
- 2
57389 is prime, so its only factors are 1 and 57389. It is the 5820th prime; the next prime is 57397 and the one before is 57383.
- 3
The divisors add up to 57390; without 57389 itself that is 1, so 57389 is deficient (1 is less than 57389). Euler's totient φ(57389) = 57388 numbers up to 57389 share no factor with it.
- 4
The digits of 57389 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
57389 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 57390 |
| Euler totient φ(n) | 57388 |
| Square | 3293497321 |
| Cube | 189010517754869 |
| Square root | 239.560013 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.7389 × |
57389 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand three hundred and eighty-nine |
| Binary (base 2) | 1110000000101101 |
| Octal (base 8) | 160055 |
| Hexadecimal (base 16) | E02D |
| Base 3 | 2220201112 |
| As time | 57389 seconds = 15 h 56 min 29 s |
Is 57389 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 5) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 57389 a prime number?
Yes. 57389 is divisible only by 1 and itself.
What are the factors of 57389?
1, 57389.
What is 57389 in binary?
1110000000101101 (hexadecimal E02D, octal 160055).
What is the square root of 57389?
About 239.5600.
Is 57389 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 57389?
57389 is the 5820th prime number.