The number 18004
18004 is a composite number with 12 divisors. Its prime factorisation is × 7 × 643. Divisors (12): 1, 2, 4, 7, 14, 28, 643, 1286, 2572, 4501, 9002, 18004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18004 is composite. Its prime factorisation is
- 3
The divisors add up to 36064; without 18004 itself that is 18060, so 18004 is abundant (18060 is more than 18004). Euler's totient φ(18004) = 7704 numbers up to 18004 share no factor with it.
- 4
The digits of 18004 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18004 = 2^{2} \times 7 \times 643 \]18004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 36064 |
| Euler totient φ(n) | 7704 |
| Square | 324144016 |
| Cube | 5835888864064 |
| Square root | 134.178985 (= 2√4501) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 48 |
| Scientific notation | 1.8004 × |
18004 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand and four |
| Binary (base 2) | 100011001010100 |
| Octal (base 8) | 43124 |
| Hexadecimal (base 16) | 4654 |
| Base 3 | 220200211 |
| As time | 18004 seconds = 5 h 0 min 4 s |
Is 18004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18004 ÷ 2 = 9002) | 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 (18004 ÷ 4 = 4501) | 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 (18004 ÷ 7 = 2572) | 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 8) | 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 18004 a prime number?
No. 18004 = × 7 × 643, so it is divisible by 2.
What are the factors of 18004?
1, 2, 4, 7, 14, 28, 643, 1286, 2572, 4501, 9002, 18004.
What is 18004 in binary?
100011001010100 (hexadecimal 4654, octal 43124).
What is the square root of 18004?
About 134.1790, exactly 2√4501.
Is 18004 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 18004?
It is a composite number with 12 divisors.