The number 18804
18804 is a composite number with 12 divisors. Its prime factorisation is × 3 × 1567. Divisors (12): 1, 2, 3, 4, 6, 12, 1567, 3134, 4701, 6268, 9402, 18804.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18804 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18804 is composite. Its prime factorisation is
- 3
The divisors add up to 43904; without 18804 itself that is 25100, so 18804 is abundant (25100 is more than 18804). Euler's totient φ(18804) = 6264 numbers up to 18804 share no factor with it.
- 4
The digits of 18804 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 123 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18804 = 2^{2} \times 3 \times 1567 \]18804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 43904 |
| Euler totient φ(n) | 6264 |
| Square | 353590416 |
| Cube | 6648914182464 |
| Square root | 137.127678 (= 2√4701) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 123 |
| Scientific notation | 1.8804 × |
18804 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand eight hundred and four |
| Binary (base 2) | 100100101110100 |
| Octal (base 8) | 44564 |
| Hexadecimal (base 16) | 4974 |
| Base 3 | 221210110 |
| As time | 18804 seconds = 5 h 13 min 24 s |
Is 18804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18804 ÷ 2 = 9402) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18804 ÷ 3 = 6268) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (18804 ÷ 4 = 4701) | 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 (18804 ÷ 6 = 3134) | 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 | 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 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (18804 ÷ 12 = 1567) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18804 a prime number?
No. 18804 = × 3 × 1567, so it is divisible by 2.
What are the factors of 18804?
1, 2, 3, 4, 6, 12, 1567, 3134, 4701, 6268, 9402, 18804.
What is 18804 in binary?
100100101110100 (hexadecimal 4974, octal 44564).
What is the square root of 18804?
About 137.1277, exactly 2√4701.
Is 18804 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 18804?
It is a composite number with 12 divisors.