The number 58441
58441 is a twin prime (58439 and 58441 are both prime) and the 5918th prime number. Its only divisors are 1 and 58441.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58441: a twin prime (58439 and 58441 are both prime); the 5918th prime number.
- 2
58441 is prime, so its only factors are 1 and 58441. It is the 5918th prime; the next prime is 58451 and the one before is 58439.
- 3
The divisors add up to 58442; without 58441 itself that is 1, so 58441 is deficient (1 is less than 58441). Euler's totient φ(58441) = 58440 numbers up to 58441 share no factor with it.
- 4
The digits of 58441 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
58441 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 58442 |
| Euler totient φ(n) | 58440 |
| Square | 3415350481 |
| Cube | 199596497460121 |
| Square root | 241.745734 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.8441 × |
58441 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand four hundred and forty-one |
| Binary (base 2) | 1110010001001001 |
| Octal (base 8) | 162111 |
| Hexadecimal (base 16) | E449 |
| Base 3 | 2222011111 |
| As time | 58441 seconds = 16 h 14 min 1 s |
Is 58441 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 1) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58441 a prime number?
Yes. 58441 is divisible only by 1 and itself.
What are the factors of 58441?
1, 58441.
What is 58441 in binary?
1110010001001001 (hexadecimal E449, octal 162111).
What is the square root of 58441?
About 241.7457.
Is 58441 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 58441?
58441 is a twin prime (58439 and 58441 are both prime); the 5918th prime number.