The number 8741
8741 is the 1090th prime number. Its only divisors are 1 and 8741.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8741: the 1090th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
8741 is prime, so its only factors are 1 and 8741. It is the 1090th prime; the next prime is 8747 and the one before is 8737.
- 3
The divisors add up to 8742; without 8741 itself that is 1, so 8741 is deficient (1 is less than 8741). Euler's totient φ(8741) = 8740 numbers up to 8741 share no factor with it.
- 4
The digits of 8741 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
8741 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 8742 |
| Euler totient φ(n) | 8740 |
| Square | 76405081 |
| Cube | 667856813021 |
| Square root | 93.493315 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 109 |
| Scientific notation | 8.741 × |
8741 in other forms
| Form | Value |
|---|---|
| In words | eight thousand seven hundred and forty-one |
| Binary (base 2) | 10001000100101 |
| Octal (base 8) | 21045 |
| Hexadecimal (base 16) | 2225 |
| Base 3 | 102222202 |
| As time | 8741 seconds = 2 h 25 min 41 s |
Is 8741 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 1) | 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 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 5) | 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 1) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8741 a prime number?
Yes. 8741 is divisible only by 1 and itself.
What are the factors of 8741?
1, 8741.
What is 8741 in binary?
10001000100101 (hexadecimal 2225, octal 21045).
What is the square root of 8741?
About 93.4933.
Is 8741 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 8741?
8741 is the 1090th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.