The number 8041
8041 is a composite number with 8 divisors. Its prime factorisation is 11 × 17 × 43. Divisors (8): 1, 11, 17, 43, 187, 473, 731, 8041.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8041 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8041 is composite. Its prime factorisation is
- 3
The divisors add up to 9504; without 8041 itself that is 1463, so 8041 is deficient (1463 is less than 8041). Euler's totient φ(8041) = 6720 numbers up to 8041 share no factor with it.
- 4
The digits of 8041 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8041 = 11 \times 17 \times 43 \]
8041 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 9504 |
| Euler totient φ(n) | 6720 |
| Square | 64657681 |
| Cube | 519912412921 |
| Square root | 89.671623 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 96 |
| Scientific notation | 8.041 × |
8041 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and forty-one |
| Binary (base 2) | 1111101101001 |
| Octal (base 8) | 17551 |
| Hexadecimal (base 16) | 1F69 |
| Base 3 | 102000211 |
| As time | 8041 seconds = 2 h 14 min 1 s |
Is 8041 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 | Yes (8041 ÷ 11 = 731) | 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 8041 a prime number?
No. 8041 = 11 × 17 × 43, so it is divisible by 11.
What are the factors of 8041?
1, 11, 17, 43, 187, 473, 731, 8041.
What is 8041 in binary?
1111101101001 (hexadecimal 1F69, octal 17551).
What is the square root of 8041?
About 89.6716.
Is 8041 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 8041?
It is a composite number with 8 divisors.