The number 18204
18204 is a composite number with 24 divisors. Its prime factorisation is × 3 × 37 × 41. Divisors (24): 1, 2, 3, 4, 6, 12, 37, 41, 74, 82, 111, 123, 148, 164, 222, 246 … 18204.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18204 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18204 is composite. Its prime factorisation is
- 3
The divisors add up to 44688; without 18204 itself that is 26484, so 18204 is abundant (26484 is more than 18204). Euler's totient φ(18204) = 5760 numbers up to 18204 share no factor with it.
- 4
The digits of 18204 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 185 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18204 = 2^{2} \times 3 \times 37 \times 41 \]18204 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 44688 |
| Euler totient φ(n) | 5760 |
| Square | 331385616 |
| Cube | 6032543753664 |
| Square root | 134.922200 (= 2√4551) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 185 |
| Scientific notation | 1.8204 × |
18204 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand two hundred and four |
| Binary (base 2) | 100011100011100 |
| Octal (base 8) | 43434 |
| Hexadecimal (base 16) | 471C |
| Base 3 | 220222020 |
| As time | 18204 seconds = 5 h 3 min 24 s |
Is 18204 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18204 ÷ 2 = 9102) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18204 ÷ 3 = 6068) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (18204 ÷ 4 = 4551) | 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 (18204 ÷ 6 = 3034) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (18204 ÷ 12 = 1517) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18204 a prime number?
No. 18204 = × 3 × 37 × 41, so it is divisible by 2.
What are the factors of 18204?
1, 2, 3, 4, 6, 12, 37, 41, 74, 82, 111, 123, 148, 164, 222, 246, 444, 492, 1517, 3034, 4551, 6068, 9102, 18204.
What is 18204 in binary?
100011100011100 (hexadecimal 471C, octal 43434).
What is the square root of 18204?
About 134.9222, exactly 2√4551.
Is 18204 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 18204?
It is a composite number with 24 divisors.