The number 8043
8043 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 383. Divisors (8): 1, 3, 7, 21, 383, 1149, 2681, 8043.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8043 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8043 is composite. Its prime factorisation is
- 3
The divisors add up to 12288; without 8043 itself that is 4245, so 8043 is deficient (4245 is less than 8043). Euler's totient φ(8043) = 4584 numbers up to 8043 share no factor with it.
- 4
The digits of 8043 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8043 = 3 \times 7 \times 383 \]
8043 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 12288 |
| Euler totient φ(n) | 4584 |
| Square | 64689849 |
| Cube | 520300455507 |
| Square root | 89.682774 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 52 |
| Scientific notation | 8.043 × |
8043 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and forty-three |
| Binary (base 2) | 1111101101011 |
| Octal (base 8) | 17553 |
| Hexadecimal (base 16) | 1F6B |
| Base 3 | 102000220 |
| As time | 8043 seconds = 2 h 14 min 3 s |
Is 8043 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 | Yes (8043 ÷ 3 = 2681) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (8043 ÷ 7 = 1149) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8043 a prime number?
No. 8043 = 3 × 7 × 383, so it is divisible by 3.
What are the factors of 8043?
1, 3, 7, 21, 383, 1149, 2681, 8043.
What is 8043 in binary?
1111101101011 (hexadecimal 1F6B, octal 17553).
What is the square root of 8043?
About 89.6828.
Is 8043 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 8043?
It is a composite number with 8 divisors.