The number 58367
58367 is a twin prime (58367 and 58369 are both prime) and the 5908th prime number. Its only divisors are 1 and 58367.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58367: a twin prime (58367 and 58369 are both prime); the 5908th prime number.
- 2
58367 is prime, so its only factors are 1 and 58367. It is the 5908th prime; the next prime is 58369 and the one before is 58363.
- 3
The divisors add up to 58368; without 58367 itself that is 1, so 58367 is deficient (1 is less than 58367). Euler's totient φ(58367) = 58366 numbers up to 58367 share no factor with it.
- 4
The digits of 58367 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
58367 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 58368 |
| Euler totient φ(n) | 58366 |
| Square | 3406706689 |
| Cube | 198839249316863 |
| Square root | 241.592632 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.8367 × |
58367 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand three hundred and sixty-seven |
| Binary (base 2) | 1110001111111111 |
| Octal (base 8) | 161777 |
| Hexadecimal (base 16) | E3FF |
| Base 3 | 2222001202 |
| As time | 58367 seconds = 16 h 12 min 47 s |
Is 58367 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 1) | 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 7) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 58367 a prime number?
Yes. 58367 is divisible only by 1 and itself.
What are the factors of 58367?
1, 58367.
What is 58367 in binary?
1110001111111111 (hexadecimal E3FF, octal 161777).
What is the square root of 58367?
About 241.5926.
Is 58367 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 58367?
58367 is a twin prime (58367 and 58369 are both prime); the 5908th prime number.