The number 58313
58313 is the 5904th prime number. Its only divisors are 1 and 58313.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58313: the 5904th prime number.
- 2
58313 is prime, so its only factors are 1 and 58313. It is the 5904th prime; the next prime is 58321 and the one before is 58309.
- 3
The divisors add up to 58314; without 58313 itself that is 1, so 58313 is deficient (1 is less than 58313). Euler's totient φ(58313) = 58312 numbers up to 58313 share no factor with it.
- 4
The digits of 58313 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 241 steps to reach 1.
58313 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 58314 |
| Euler totient φ(n) | 58312 |
| Square | 3400405969 |
| Cube | 198287873270297 |
| Square root | 241.480848 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 241 |
| Scientific notation | 5.8313 × |
58313 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand three hundred and thirteen |
| Binary (base 2) | 1110001111001001 |
| Octal (base 8) | 161711 |
| Hexadecimal (base 16) | E3C9 |
| Base 3 | 2221222202 |
| As time | 58313 seconds = 16 h 11 min 53 s |
Is 58313 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58313 a prime number?
Yes. 58313 is divisible only by 1 and itself.
What are the factors of 58313?
1, 58313.
What is 58313 in binary?
1110001111001001 (hexadecimal E3C9, octal 161711).
What is the square root of 58313?
About 241.4808.
Is 58313 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 58313?
58313 is the 5904th prime number.