The number 58439
58439 is a twin prime (58439 and 58441 are both prime) and the 5917th prime number. Its only divisors are 1 and 58439.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58439: a twin prime (58439 and 58441 are both prime); the 5917th prime number.
- 2
58439 is prime, so its only factors are 1 and 58439. It is the 5917th prime; the next prime is 58441 and the one before is 58427.
- 3
The divisors add up to 58440; without 58439 itself that is 1, so 58439 is deficient (1 is less than 58439). Euler's totient φ(58439) = 58438 numbers up to 58439 share no factor with it.
- 4
The digits of 58439 add up to 29, 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.
58439 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 58440 |
| Euler totient φ(n) | 58438 |
| Square | 3415116721 |
| Cube | 199576006058519 |
| Square root | 241.741598 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 241 |
| Scientific notation | 5.8439 × |
58439 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand four hundred and thirty-nine |
| Binary (base 2) | 1110010001000111 |
| Octal (base 8) | 162107 |
| Hexadecimal (base 16) | E447 |
| Base 3 | 2222011102 |
| As time | 58439 seconds = 16 h 13 min 59 s |
Is 58439 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 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 7) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 58439 a prime number?
Yes. 58439 is divisible only by 1 and itself.
What are the factors of 58439?
1, 58439.
What is 58439 in binary?
1110010001000111 (hexadecimal E447, octal 162107).
What is the square root of 58439?
About 241.7416.
Is 58439 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 58439?
58439 is a twin prime (58439 and 58441 are both prime); the 5917th prime number.