The number 18024
18024 is a composite number with 16 divisors. Its prime factorisation is × 3 × 751. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 751, 1502, 2253, 3004, 4506, 6008, 9012, 18024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18024 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18024 is composite. Its prime factorisation is
- 3
The divisors add up to 45120; without 18024 itself that is 27096, so 18024 is abundant (27096 is more than 18024). Euler's totient φ(18024) = 6000 numbers up to 18024 share no factor with it.
- 4
The digits of 18024 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 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18024 = 2^{3} \times 3 \times 751 \]18024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 45120 |
| Euler totient φ(n) | 6000 |
| Square | 324864576 |
| Cube | 5855359117824 |
| Square root | 134.253492 (= 2√4506) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 48 |
| Scientific notation | 1.8024 × |
18024 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand and twenty-four |
| Binary (base 2) | 100011001101000 |
| Octal (base 8) | 43150 |
| Hexadecimal (base 16) | 4668 |
| Base 3 | 220201120 |
| As time | 18024 seconds = 5 h 0 min 24 s |
Is 18024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18024 ÷ 2 = 9012) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18024 ÷ 3 = 6008) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (18024 ÷ 4 = 4506) | 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 (18024 ÷ 6 = 3004) | 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 | Yes (18024 ÷ 8 = 2253) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (18024 ÷ 12 = 1502) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18024 a prime number?
No. 18024 = × 3 × 751, so it is divisible by 2.
What are the factors of 18024?
1, 2, 3, 4, 6, 8, 12, 24, 751, 1502, 2253, 3004, 4506, 6008, 9012, 18024.
What is 18024 in binary?
100011001101000 (hexadecimal 4668, octal 43150).
What is the square root of 18024?
About 134.2535, exactly 2√4506.
Is 18024 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 18024?
It is a composite number with 16 divisors.