The number 18504
18504 is a composite number with 24 divisors. Its prime factorisation is × × 257. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 257, 514, 771, 1028 … 18504.
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How to work it out
- 1
What is special about 18504: a Harshad number: divisible by its digit sum 18.
- 2
18504 is composite. Its prime factorisation is
- 3
The divisors add up to 50310; without 18504 itself that is 31806, so 18504 is abundant (31806 is more than 18504). Euler's totient φ(18504) = 6144 numbers up to 18504 share no factor with it.
- 4
The digits of 18504 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 110 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18504 = 2^{3} \times 3^{2} \times 257 \]18504 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 50310 |
| Euler totient φ(n) | 6144 |
| Square | 342398016 |
| Cube | 6335732888064 |
| Square root | 136.029409 (= 6√514) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 110 |
| Scientific notation | 1.8504 × |
18504 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand five hundred and four |
| Binary (base 2) | 100100001001000 |
| Octal (base 8) | 44110 |
| Hexadecimal (base 16) | 4848 |
| Base 3 | 221101100 |
| As time | 18504 seconds = 5 h 8 min 24 s |
Is 18504 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18504 ÷ 2 = 9252) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18504 ÷ 3 = 6168) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (18504 ÷ 4 = 4626) | 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 (18504 ÷ 6 = 3084) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (18504 ÷ 8 = 2313) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (18504 ÷ 9 = 2056) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (18504 ÷ 12 = 1542) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18504 a prime number?
No. 18504 = × × 257, so it is divisible by 2.
What are the factors of 18504?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 257, 514, 771, 1028, 1542, 2056, 2313, 3084, 4626, 6168, 9252, 18504.
What is 18504 in binary?
100100001001000 (hexadecimal 4848, octal 44110).
What is the square root of 18504?
About 136.0294, exactly 6√514.
Is 18504 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 18504?
18504 is a Harshad number: divisible by its digit sum 18.