The number 58067
58067 is the 5881st prime number. Its only divisors are 1 and 58067.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58067: the 5881st prime number.
- 2
58067 is prime, so its only factors are 1 and 58067. It is the 5881st prime; the next prime is 58073 and the one before is 58061.
- 3
The divisors add up to 58068; without 58067 itself that is 1, so 58067 is deficient (1 is less than 58067). Euler's totient φ(58067) = 58066 numbers up to 58067 share no factor with it.
- 4
The digits of 58067 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 122 steps to reach 1.
58067 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 58068 |
| Euler totient φ(n) | 58066 |
| Square | 3371776489 |
| Cube | 195788945386763 |
| Square root | 240.970953 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.8067 × |
58067 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand and sixty-seven |
| Binary (base 2) | 1110001011010011 |
| Octal (base 8) | 161323 |
| Hexadecimal (base 16) | E2D3 |
| Base 3 | 2221122122 |
| As time | 58067 seconds = 16 h 7 min 47 s |
Is 58067 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 2) | 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 9) | 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 58067 a prime number?
Yes. 58067 is divisible only by 1 and itself.
What are the factors of 58067?
1, 58067.
What is 58067 in binary?
1110001011010011 (hexadecimal E2D3, octal 161323).
What is the square root of 58067?
About 240.9710.
Is 58067 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 58067?
58067 is the 5881st prime number.