The number 8084
8084 is a composite number with 12 divisors. Its prime factorisation is × 43 × 47. Divisors (12): 1, 2, 4, 43, 47, 86, 94, 172, 188, 2021, 4042, 8084.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8084 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8084 is composite. Its prime factorisation is
- 3
The divisors add up to 14784; without 8084 itself that is 6700, so 8084 is deficient (6700 is less than 8084). Euler's totient φ(8084) = 3864 numbers up to 8084 share no factor with it.
- 4
The digits of 8084 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 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8084 = 2^{2} \times 43 \times 47 \]8084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 14784 |
| Euler totient φ(n) | 3864 |
| Square | 65351056 |
| Cube | 528297936704 |
| Square root | 89.911067 (= 2√2021) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 65 |
| Scientific notation | 8.084 × |
8084 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and eighty-four |
| Binary (base 2) | 1111110010100 |
| Octal (base 8) | 17624 |
| Hexadecimal (base 16) | 1F94 |
| Base 3 | 102002102 |
| As time | 8084 seconds = 2 h 14 min 44 s |
Is 8084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8084 ÷ 2 = 4042) | 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 | Yes (8084 ÷ 4 = 2021) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 2) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8084 a prime number?
No. 8084 = × 43 × 47, so it is divisible by 2.
What are the factors of 8084?
1, 2, 4, 43, 47, 86, 94, 172, 188, 2021, 4042, 8084.
What is 8084 in binary?
1111110010100 (hexadecimal 1F94, octal 17624).
What is the square root of 8084?
About 89.9111, exactly 2√2021.
Is 8084 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 8084?
It is a composite number with 12 divisors.