The number 58013
58013 is the 5874th prime number. Its only divisors are 1 and 58013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58013: the 5874th prime number.
- 2
58013 is prime, so its only factors are 1 and 58013. It is the 5874th prime; the next prime is 58027 and the one before is 57991.
- 3
The divisors add up to 58014; without 58013 itself that is 1, so 58013 is deficient (1 is less than 58013). Euler's totient φ(58013) = 58012 numbers up to 58013 share no factor with it.
- 4
The digits of 58013 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
58013 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 58014 |
| Euler totient φ(n) | 58012 |
| Square | 3365508169 |
| Cube | 195243225408197 |
| Square root | 240.858880 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.8013 × |
58013 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand and thirteen |
| Binary (base 2) | 1110001010011101 |
| Octal (base 8) | 161235 |
| Hexadecimal (base 16) | E29D |
| Base 3 | 2221120122 |
| As time | 58013 seconds = 16 h 6 min 53 s |
Is 58013 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 4) | 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 5) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 58013 a prime number?
Yes. 58013 is divisible only by 1 and itself.
What are the factors of 58013?
1, 58013.
What is 58013 in binary?
1110001010011101 (hexadecimal E29D, octal 161235).
What is the square root of 58013?
About 240.8589.
Is 58013 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 58013?
58013 is the 5874th prime number.