The number 18324
18324 is a composite number with 18 divisors. Its prime factorisation is × × 509. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 509, 1018, 1527, 2036, 3054, 4581, 6108 … 18324.
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How to work it out
- 1
What is special about 18324: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
18324 is composite. Its prime factorisation is
- 3
The divisors add up to 46410; without 18324 itself that is 28086, so 18324 is abundant (28086 is more than 18324). Euler's totient φ(18324) = 6096 numbers up to 18324 share no factor with it.
- 4
The digits of 18324 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 154 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18324 = 2^{2} \times 3^{2} \times 509 \]18324 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 46410 |
| Euler totient φ(n) | 6096 |
| Square | 335768976 |
| Cube | 6152630716224 |
| Square root | 135.366170 (= 6√509) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 154 |
| Scientific notation | 1.8324 × |
18324 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand three hundred and twenty-four |
| Binary (base 2) | 100011110010100 |
| Octal (base 8) | 43624 |
| Hexadecimal (base 16) | 4794 |
| Base 3 | 221010200 |
| As time | 18324 seconds = 5 h 5 min 24 s |
Is 18324 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18324 ÷ 2 = 9162) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18324 ÷ 3 = 6108) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (18324 ÷ 4 = 4581) | 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 (18324 ÷ 6 = 3054) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (18324 ÷ 9 = 2036) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (18324 ÷ 12 = 1527) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18324 a prime number?
No. 18324 = × × 509, so it is divisible by 2.
What are the factors of 18324?
1, 2, 3, 4, 6, 9, 12, 18, 36, 509, 1018, 1527, 2036, 3054, 4581, 6108, 9162, 18324.
What is 18324 in binary?
100011110010100 (hexadecimal 4794, octal 43624).
What is the square root of 18324?
About 135.3662, exactly 6√509.
Is 18324 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 18324?
18324 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.