The number 58427
58427 is the 5916th prime number. Its only divisors are 1 and 58427.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58427: the 5916th prime number.
- 2
58427 is prime, so its only factors are 1 and 58427. It is the 5916th prime; the next prime is 58439 and the one before is 58417.
- 3
The divisors add up to 58428; without 58427 itself that is 1, so 58427 is deficient (1 is less than 58427). Euler's totient φ(58427) = 58426 numbers up to 58427 share no factor with it.
- 4
The digits of 58427 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
58427 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 58428 |
| Euler totient φ(n) | 58426 |
| Square | 3413714329 |
| Cube | 199453087100483 |
| Square root | 241.716776 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.8427 × |
58427 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand four hundred and twenty-seven |
| Binary (base 2) | 1110010000111011 |
| Octal (base 8) | 162073 |
| Hexadecimal (base 16) | E43B |
| Base 3 | 2222010222 |
| As time | 58427 seconds = 16 h 13 min 47 s |
Is 58427 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 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58427 a prime number?
Yes. 58427 is divisible only by 1 and itself.
What are the factors of 58427?
1, 58427.
What is 58427 in binary?
1110010000111011 (hexadecimal E43B, octal 162073).
What is the square root of 58427?
About 241.7168.
Is 58427 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 58427?
58427 is the 5916th prime number.