The number 18387
18387 is a composite number with 10 divisors. Its prime factorisation is × 227. Divisors (10): 1, 3, 9, 27, 81, 227, 681, 2043, 6129, 18387.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18387: a Harshad number: divisible by its digit sum 27.
- 2
18387 is composite. Its prime factorisation is
- 3
The divisors add up to 27588; without 18387 itself that is 9201, so 18387 is deficient (9201 is less than 18387). Euler's totient φ(18387) = 12204 numbers up to 18387 share no factor with it.
- 4
The digits of 18387 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 92 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18387 = 3^{4} \times 227 \]18387 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 27588 |
| Euler totient φ(n) | 12204 |
| Square | 338081769 |
| Cube | 6216309486603 |
| Square root | 135.598673 (= 9√227) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 92 |
| Scientific notation | 1.8387 × |
18387 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand three hundred and eighty-seven |
| Binary (base 2) | 100011111010011 |
| Octal (base 8) | 43723 |
| Hexadecimal (base 16) | 47D3 |
| Base 3 | 221020000 |
| As time | 18387 seconds = 5 h 6 min 27 s |
Is 18387 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18387 ÷ 3 = 6129) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (18387 ÷ 9 = 2043) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18387 a prime number?
No. 18387 = × 227, so it is divisible by 3.
What are the factors of 18387?
1, 3, 9, 27, 81, 227, 681, 2043, 6129, 18387.
What is 18387 in binary?
100011111010011 (hexadecimal 47D3, octal 43723).
What is the square root of 18387?
About 135.5987, exactly 9√227.
Is 18387 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 18387?
18387 is a Harshad number: divisible by its digit sum 27.