The number 28084
28084 is a composite number with 24 divisors. Its prime factorisation is × 7 × 17 × 59. Divisors (24): 1, 2, 4, 7, 14, 17, 28, 34, 59, 68, 118, 119, 236, 238, 413, 476 … 28084.
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How to work it out
- 1
28084 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
28084 is composite. Its prime factorisation is
- 3
The divisors add up to 60480; without 28084 itself that is 32396, so 28084 is abundant (32396 is more than 28084). Euler's totient φ(28084) = 11136 numbers up to 28084 share no factor with it.
- 4
The digits of 28084 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 28084 = 2^{2} \times 7 \times 17 \times 59 \]28084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 60480 |
| Euler totient φ(n) | 11136 |
| Square | 788711056 |
| Cube | 22150161296704 |
| Square root | 167.582815 (= 2√7021) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.8084 × |
28084 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand and eighty-four |
| Binary (base 2) | 110110110110100 |
| Octal (base 8) | 66664 |
| Hexadecimal (base 16) | 6DB4 |
| Base 3 | 1102112011 |
| As time | 28084 seconds = 7 h 48 min 4 s |
Is 28084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (28084 ÷ 2 = 14042) | 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 (28084 ÷ 4 = 7021) | 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 | Yes (28084 ÷ 7 = 4012) | 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 4) | 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 1) | 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 28084 a prime number?
No. 28084 = × 7 × 17 × 59, so it is divisible by 2.
What are the factors of 28084?
1, 2, 4, 7, 14, 17, 28, 34, 59, 68, 118, 119, 236, 238, 413, 476, 826, 1003, 1652, 2006, 4012, 7021, 14042, 28084.
What is 28084 in binary?
110110110110100 (hexadecimal 6DB4, octal 66664).
What is the square root of 28084?
About 167.5828, exactly 2√7021.
Is 28084 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 28084?
It is a composite number with 24 divisors.