The number 58889
58889 is the 5950th prime number. Its only divisors are 1 and 58889.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58889: the 5950th prime number.
- 2
58889 is prime, so its only factors are 1 and 58889. It is the 5950th prime; the next prime is 58897 and the one before is 58831.
- 3
The divisors add up to 58890; without 58889 itself that is 1, so 58889 is deficient (1 is less than 58889). Euler's totient φ(58889) = 58888 numbers up to 58889 share no factor with it.
- 4
The digits of 58889 add up to 38, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
58889 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 58890 |
| Euler totient φ(n) | 58888 |
| Square | 3467914321 |
| Cube | 204222006449369 |
| Square root | 242.670559 |
| Digit sum / digital root | 38 / 2 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.8889 × |
58889 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand eight hundred and eighty-nine |
| Binary (base 2) | 1110011000001001 |
| Octal (base 8) | 163011 |
| Hexadecimal (base 16) | E609 |
| Base 3 | 2222210002 |
| As time | 58889 seconds = 16 h 21 min 29 s |
Is 58889 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 5) | 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 6) | 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 58889 a prime number?
Yes. 58889 is divisible only by 1 and itself.
What are the factors of 58889?
1, 58889.
What is 58889 in binary?
1110011000001001 (hexadecimal E609, octal 163011).
What is the square root of 58889?
About 242.6706.
Is 58889 divisible by 3?
No. Its digits add up to 38, which is not a multiple of 3.
What is special about the number 58889?
58889 is the 5950th prime number.