The number 18084
18084 is a composite number with 24 divisors. Its prime factorisation is × 3 × 11 × 137. Divisors (24): 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 137, 274, 411, 548 … 18084.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18084 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18084 is composite. Its prime factorisation is
- 3
The divisors add up to 46368; without 18084 itself that is 28284, so 18084 is abundant (28284 is more than 18084). Euler's totient φ(18084) = 5440 numbers up to 18084 share no factor with it.
- 4
The digits of 18084 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 185 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18084 = 2^{2} \times 3 \times 11 \times 137 \]18084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 46368 |
| Euler totient φ(n) | 5440 |
| Square | 327031056 |
| Cube | 5914029616704 |
| Square root | 134.476764 (= 2√4521) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 185 |
| Scientific notation | 1.8084 × |
18084 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand and eighty-four |
| Binary (base 2) | 100011010100100 |
| Octal (base 8) | 43244 |
| Hexadecimal (base 16) | 46A4 |
| Base 3 | 220210210 |
| As time | 18084 seconds = 5 h 1 min 24 s |
Is 18084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18084 ÷ 2 = 9042) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18084 ÷ 3 = 6028) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (18084 ÷ 4 = 4521) | 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 | Yes (18084 ÷ 6 = 3014) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 3) | 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 | Yes (18084 ÷ 11 = 1644) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (18084 ÷ 12 = 1507) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18084 a prime number?
No. 18084 = × 3 × 11 × 137, so it is divisible by 2.
What are the factors of 18084?
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 137, 274, 411, 548, 822, 1507, 1644, 3014, 4521, 6028, 9042, 18084.
What is 18084 in binary?
100011010100100 (hexadecimal 46A4, octal 43244).
What is the square root of 18084?
About 134.4768, exactly 2√4521.
Is 18084 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 18084?
It is a composite number with 24 divisors.