The number 58369
58369 is a twin prime (58367 and 58369 are both prime) and the 5909th prime number. Its only divisors are 1 and 58369.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58369: a twin prime (58367 and 58369 are both prime); the 5909th prime number.
- 2
58369 is prime, so its only factors are 1 and 58369. It is the 5909th prime; the next prime is 58379 and the one before is 58367.
- 3
The divisors add up to 58370; without 58369 itself that is 1, so 58369 is deficient (1 is less than 58369). Euler's totient φ(58369) = 58368 numbers up to 58369 share no factor with it.
- 4
The digits of 58369 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
58369 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 58370 |
| Euler totient φ(n) | 58368 |
| Square | 3406940161 |
| Cube | 198859690257409 |
| Square root | 241.596772 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.8369 × |
58369 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand three hundred and sixty-nine |
| Binary (base 2) | 1110010000000001 |
| Octal (base 8) | 162001 |
| Hexadecimal (base 16) | E401 |
| Base 3 | 2222001211 |
| As time | 58369 seconds = 16 h 12 min 49 s |
Is 58369 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 4) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58369 a prime number?
Yes. 58369 is divisible only by 1 and itself.
What are the factors of 58369?
1, 58369.
What is 58369 in binary?
1110010000000001 (hexadecimal E401, octal 162001).
What is the square root of 58369?
About 241.5968.
Is 58369 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 58369?
58369 is a twin prime (58367 and 58369 are both prime); the 5909th prime number.