The number 58913
58913 is the 5955th prime number. Its only divisors are 1 and 58913.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58913: the 5955th prime number.
- 2
58913 is prime, so its only factors are 1 and 58913. It is the 5955th prime; the next prime is 58921 and the one before is 58909.
- 3
The divisors add up to 58914; without 58913 itself that is 1, so 58913 is deficient (1 is less than 58913). Euler's totient φ(58913) = 58912 numbers up to 58913 share no factor with it.
- 4
The digits of 58913 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
58913 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 58914 |
| Euler totient φ(n) | 58912 |
| Square | 3470741569 |
| Cube | 204471798054497 |
| Square root | 242.720003 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.8913 × |
58913 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand nine hundred and thirteen |
| Binary (base 2) | 1110011000100001 |
| Octal (base 8) | 163041 |
| Hexadecimal (base 16) | E621 |
| Base 3 | 2222210222 |
| As time | 58913 seconds = 16 h 21 min 53 s |
Is 58913 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 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 1) | 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 8) | 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 58913 a prime number?
Yes. 58913 is divisible only by 1 and itself.
What are the factors of 58913?
1, 58913.
What is 58913 in binary?
1110011000100001 (hexadecimal E621, octal 163041).
What is the square root of 58913?
About 242.7200.
Is 58913 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 58913?
58913 is the 5955th prime number.