The number 58027
58027 is the 5875th prime number. Its only divisors are 1 and 58027.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58027: the 5875th prime number.
- 2
58027 is prime, so its only factors are 1 and 58027. It is the 5875th prime; the next prime is 58031 and the one before is 58013.
- 3
The divisors add up to 58028; without 58027 itself that is 1, so 58027 is deficient (1 is less than 58027). Euler's totient φ(58027) = 58026 numbers up to 58027 share no factor with it.
- 4
The digits of 58027 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
58027 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 58028 |
| Euler totient φ(n) | 58026 |
| Square | 3367132729 |
| Cube | 195384610865683 |
| Square root | 240.887941 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.8027 × |
58027 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand and twenty-seven |
| Binary (base 2) | 1110001010101011 |
| Octal (base 8) | 161253 |
| Hexadecimal (base 16) | E2AB |
| Base 3 | 2221121011 |
| As time | 58027 seconds = 16 h 7 min 7 s |
Is 58027 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58027 a prime number?
Yes. 58027 is divisible only by 1 and itself.
What are the factors of 58027?
1, 58027.
What is 58027 in binary?
1110001010101011 (hexadecimal E2AB, octal 161253).
What is the square root of 58027?
About 240.8879.
Is 58027 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 58027?
58027 is the 5875th prime number.