The number 8044
8044 is a composite number with 6 divisors. Its prime factorisation is × 2011. Divisors (6): 1, 2, 4, 2011, 4022, 8044.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8044 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8044 is composite. Its prime factorisation is
- 3
The divisors add up to 14084; without 8044 itself that is 6040, so 8044 is deficient (6040 is less than 8044). Euler's totient φ(8044) = 4020 numbers up to 8044 share no factor with it.
- 4
The digits of 8044 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8044 = 2^{2} \times 2011 \]8044 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 14084 |
| Euler totient φ(n) | 4020 |
| Square | 64705936 |
| Cube | 520494549184 |
| Square root | 89.688349 (= 2√2011) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 44 |
| Scientific notation | 8.044 × |
8044 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and forty-four |
| Binary (base 2) | 1111101101100 |
| Octal (base 8) | 17554 |
| Hexadecimal (base 16) | 1F6C |
| Base 3 | 102000221 |
| As time | 8044 seconds = 2 h 14 min 4 s |
Is 8044 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8044 ÷ 2 = 4022) | 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 | Yes (8044 ÷ 4 = 2011) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8044 a prime number?
No. 8044 = × 2011, so it is divisible by 2.
What are the factors of 8044?
1, 2, 4, 2011, 4022, 8044.
What is 8044 in binary?
1111101101100 (hexadecimal 1F6C, octal 17554).
What is the square root of 8044?
About 89.6883, exactly 2√2011.
Is 8044 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 8044?
It is a composite number with 6 divisors.