The number 58379
58379 is the 5910th prime number. Its only divisors are 1 and 58379.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58379: the 5910th prime number.
- 2
58379 is prime, so its only factors are 1 and 58379. It is the 5910th prime; the next prime is 58391 and the one before is 58369.
- 3
The divisors add up to 58380; without 58379 itself that is 1, so 58379 is deficient (1 is less than 58379). Euler's totient φ(58379) = 58378 numbers up to 58379 share no factor with it.
- 4
The digits of 58379 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
58379 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 58380 |
| Euler totient φ(n) | 58378 |
| Square | 3408107641 |
| Cube | 198961915973939 |
| Square root | 241.617466 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.8379 × |
58379 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand three hundred and seventy-nine |
| Binary (base 2) | 1110010000001011 |
| Octal (base 8) | 162013 |
| Hexadecimal (base 16) | E40B |
| Base 3 | 2222002012 |
| As time | 58379 seconds = 16 h 12 min 59 s |
Is 58379 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 4) | 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 6) | 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 5) | 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 2) | 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 58379 a prime number?
Yes. 58379 is divisible only by 1 and itself.
What are the factors of 58379?
1, 58379.
What is 58379 in binary?
1110010000001011 (hexadecimal E40B, octal 162013).
What is the square root of 58379?
About 241.6175.
Is 58379 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 58379?
58379 is the 5910th prime number.