The number 27243
27243 is a composite number with 8 divisors. Its prime factorisation is × 1009. Divisors (8): 1, 3, 9, 27, 1009, 3027, 9081, 27243.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27243: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27243 is composite. Its prime factorisation is
- 3
The divisors add up to 40400; without 27243 itself that is 13157, so 27243 is deficient (13157 is less than 27243). Euler's totient φ(27243) = 18144 numbers up to 27243 share no factor with it.
- 4
The digits of 27243 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 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27243 = 3^{3} \times 1009 \]27243 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 40400 |
| Euler totient φ(n) | 18144 |
| Square | 742181049 |
| Cube | 20219238317907 |
| Square root | 165.054536 (= 3√3027) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.7243 × |
27243 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand two hundred and forty-three |
| Binary (base 2) | 110101001101011 |
| Octal (base 8) | 65153 |
| Hexadecimal (base 16) | 6A6B |
| Base 3 | 1101101000 |
| As time | 27243 seconds = 7 h 34 min 3 s |
Is 27243 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 (27243 ÷ 3 = 9081) | 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 6) | 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 (27243 ÷ 9 = 3027) | 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 7) | 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 27243 a prime number?
No. 27243 = × 1009, so it is divisible by 3.
What are the factors of 27243?
1, 3, 9, 27, 1009, 3027, 9081, 27243.
What is 27243 in binary?
110101001101011 (hexadecimal 6A6B, octal 65153).
What is the square root of 27243?
About 165.0545, exactly 3√3027.
Is 27243 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 27243?
27243 is a happy number: repeatedly adding the squares of its digits reaches 1.