The number 58741
58741 is the 5943rd prime number. Its only divisors are 1 and 58741.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58741: the 5943rd prime number.
- 2
58741 is prime, so its only factors are 1 and 58741. It is the 5943rd prime; the next prime is 58757 and the one before is 58733.
- 3
The divisors add up to 58742; without 58741 itself that is 1, so 58741 is deficient (1 is less than 58741). Euler's totient φ(58741) = 58740 numbers up to 58741 share no factor with it.
- 4
The digits of 58741 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
58741 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 58742 |
| Euler totient φ(n) | 58740 |
| Square | 3450505081 |
| Cube | 202686118963021 |
| Square root | 242.365427 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.8741 × |
58741 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand seven hundred and forty-one |
| Binary (base 2) | 1110010101110101 |
| Octal (base 8) | 162565 |
| Hexadecimal (base 16) | E575 |
| Base 3 | 2222120121 |
| As time | 58741 seconds = 16 h 19 min 1 s |
Is 58741 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 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 7) | 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 1) | 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 58741 a prime number?
Yes. 58741 is divisible only by 1 and itself.
What are the factors of 58741?
1, 58741.
What is 58741 in binary?
1110010101110101 (hexadecimal E575, octal 162565).
What is the square root of 58741?
About 242.3654.
Is 58741 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 58741?
58741 is the 5943rd prime number.