The number 58337
58337 is the 5906th prime number. Its only divisors are 1 and 58337.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58337: the 5906th prime number.
- 2
58337 is prime, so its only factors are 1 and 58337. It is the 5906th prime; the next prime is 58363 and the one before is 58321.
- 3
The divisors add up to 58338; without 58337 itself that is 1, so 58337 is deficient (1 is less than 58337). Euler's totient φ(58337) = 58336 numbers up to 58337 share no factor with it.
- 4
The digits of 58337 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 153 steps to reach 1.
58337 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 58338 |
| Euler totient φ(n) | 58336 |
| Square | 3403205569 |
| Cube | 198532803278753 |
| Square root | 241.530536 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.8337 × |
58337 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand three hundred and thirty-seven |
| Binary (base 2) | 1110001111100001 |
| Octal (base 8) | 161741 |
| Hexadecimal (base 16) | E3E1 |
| Base 3 | 2222000122 |
| As time | 58337 seconds = 16 h 12 min 17 s |
Is 58337 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 2) | 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 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 58337 a prime number?
Yes. 58337 is divisible only by 1 and itself.
What are the factors of 58337?
1, 58337.
What is 58337 in binary?
1110001111100001 (hexadecimal E3E1, octal 161741).
What is the square root of 58337?
About 241.5305.
Is 58337 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 58337?
58337 is the 5906th prime number.