The number 18048
18048 is a composite number with 32 divisors. Its prime factorisation is × 3 × 47. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 64, 94, 96, 128 … 18048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18048 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18048 is composite. Its prime factorisation is
- 3
The divisors add up to 48960; without 18048 itself that is 30912, so 18048 is abundant (30912 is more than 18048). Euler's totient φ(18048) = 5888 numbers up to 18048 share no factor with it.
- 4
The digits of 18048 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 22 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18048 = 2^{7} \times 3 \times 47 \]18048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 48960 |
| Euler totient φ(n) | 5888 |
| Square | 325730304 |
| Cube | 5878780526592 |
| Square root | 134.342845 (= 8√282) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 22 |
| Scientific notation | 1.8048 × |
18048 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand and forty-eight |
| Binary (base 2) | 100011010000000 |
| Octal (base 8) | 43200 |
| Hexadecimal (base 16) | 4680 |
| Base 3 | 220202110 |
| As time | 18048 seconds = 5 h 0 min 48 s |
Is 18048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18048 ÷ 2 = 9024) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18048 ÷ 3 = 6016) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (18048 ÷ 4 = 4512) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (18048 ÷ 6 = 3008) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (18048 ÷ 8 = 2256) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (18048 ÷ 12 = 1504) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18048 a prime number?
No. 18048 = × 3 × 47, so it is divisible by 2.
What are the factors of 18048?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 64, 94, 96, 128, 141, 188, 192, 282, 376, 384, 564, 752, 1128, 1504, 2256, 3008, 4512, 6016, 9024, 18048.
What is 18048 in binary?
100011010000000 (hexadecimal 4680, octal 43200).
What is the square root of 18048?
About 134.3428, exactly 8√282.
Is 18048 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 18048?
It is a composite number with 32 divisors.