The number 18384
18384 is a composite number with 20 divisors. Its prime factorisation is × 3 × 383. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 383, 766, 1149, 1532, 2298, 3064 … 18384.
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How to work it out
- 1
What is special about 18384: a Harshad number: divisible by its digit sum 24.
- 2
18384 is composite. Its prime factorisation is
- 3
The divisors add up to 47616; without 18384 itself that is 29232, so 18384 is abundant (29232 is more than 18384). Euler's totient φ(18384) = 6112 numbers up to 18384 share no factor with it.
- 4
The digits of 18384 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18384 = 2^{4} \times 3 \times 383 \]18384 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 47616 |
| Euler totient φ(n) | 6112 |
| Square | 337971456 |
| Cube | 6213267247104 |
| Square root | 135.587610 (= 4√1149) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 48 |
| Scientific notation | 1.8384 × |
18384 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand three hundred and eighty-four |
| Binary (base 2) | 100011111010000 |
| Octal (base 8) | 43720 |
| Hexadecimal (base 16) | 47D0 |
| Base 3 | 221012220 |
| As time | 18384 seconds = 5 h 6 min 24 s |
Is 18384 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18384 ÷ 2 = 9192) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18384 ÷ 3 = 6128) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (18384 ÷ 4 = 4596) | 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 (18384 ÷ 6 = 3064) | 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 | Yes (18384 ÷ 8 = 2298) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (18384 ÷ 12 = 1532) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18384 a prime number?
No. 18384 = × 3 × 383, so it is divisible by 2.
What are the factors of 18384?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 383, 766, 1149, 1532, 2298, 3064, 4596, 6128, 9192, 18384.
What is 18384 in binary?
100011111010000 (hexadecimal 47D0, octal 43720).
What is the square root of 18384?
About 135.5876, exactly 4√1149.
Is 18384 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 18384?
18384 is a Harshad number: divisible by its digit sum 24.