The number 58789
58789 is a twin prime (58787 and 58789 are both prime) and the 5948th prime number. Its only divisors are 1 and 58789.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58789: a twin prime (58787 and 58789 are both prime); the 5948th prime number.
- 2
58789 is prime, so its only factors are 1 and 58789. It is the 5948th prime; the next prime is 58831 and the one before is 58787.
- 3
The divisors add up to 58790; without 58789 itself that is 1, so 58789 is deficient (1 is less than 58789). Euler's totient φ(58789) = 58788 numbers up to 58789 share no factor with it.
- 4
The digits of 58789 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
58789 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 58790 |
| Euler totient φ(n) | 58788 |
| Square | 3456146521 |
| Cube | 203183397823069 |
| Square root | 242.464430 |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.8789 × |
58789 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand seven hundred and eighty-nine |
| Binary (base 2) | 1110010110100101 |
| Octal (base 8) | 162645 |
| Hexadecimal (base 16) | E5A5 |
| Base 3 | 2222122101 |
| As time | 58789 seconds = 16 h 19 min 49 s |
Is 58789 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 1) | 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 1) | 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 1) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58789 a prime number?
Yes. 58789 is divisible only by 1 and itself.
What are the factors of 58789?
1, 58789.
What is 58789 in binary?
1110010110100101 (hexadecimal E5A5, octal 162645).
What is the square root of 58789?
About 242.4644.
Is 58789 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 58789?
58789 is a twin prime (58787 and 58789 are both prime); the 5948th prime number.