The number 18243
18243 is a composite number with 6 divisors. Its prime factorisation is × 2027. Divisors (6): 1, 3, 9, 2027, 6081, 18243.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18243: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
18243 is composite. Its prime factorisation is
- 3
The divisors add up to 26364; without 18243 itself that is 8121, so 18243 is deficient (8121 is less than 18243). Euler's totient φ(18243) = 12156 numbers up to 18243 share no factor with it.
- 4
The digits of 18243 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 61 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18243 = 3^{2} \times 2027 \]18243 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 26364 |
| Euler totient φ(n) | 12156 |
| Square | 332807049 |
| Cube | 6071398994907 |
| Square root | 135.066650 (= 3√2027) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 61 |
| Scientific notation | 1.8243 × |
18243 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand two hundred and forty-three |
| Binary (base 2) | 100011101000011 |
| Octal (base 8) | 43503 |
| Hexadecimal (base 16) | 4743 |
| Base 3 | 221000200 |
| As time | 18243 seconds = 5 h 4 min 3 s |
Is 18243 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 (18243 ÷ 3 = 6081) | 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 3) | 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 1) | 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 (18243 ÷ 9 = 2027) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 18243 a prime number?
No. 18243 = × 2027, so it is divisible by 3.
What are the factors of 18243?
1, 3, 9, 2027, 6081, 18243.
What is 18243 in binary?
100011101000011 (hexadecimal 4743, octal 43503).
What is the square root of 18243?
About 135.0667, exactly 3√2027.
Is 18243 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 18243?
18243 is a happy number: repeatedly adding the squares of its digits reaches 1.