The number 27324
27324 is a composite number with 48 divisors. Its prime factorisation is × × 11 × 23. Divisors (48): 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 23, 27, 33, 36, 44, 46 … 27324.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27324: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
27324 is composite. Its prime factorisation is
- 3
The divisors add up to 80640; without 27324 itself that is 53316, so 27324 is abundant (53316 is more than 27324). Euler's totient φ(27324) = 7920 numbers up to 27324 share no factor with it.
- 4
The digits of 27324 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 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27324 = 2^{2} \times 3^{3} \times 11 \times 23 \]27324 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 80640 |
| Euler totient φ(n) | 7920 |
| Square | 746600976 |
| Cube | 20400125068224 |
| Square root | 165.299728 (= 6√759) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.7324 × |
27324 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand three hundred and twenty-four |
| Binary (base 2) | 110101010111100 |
| Octal (base 8) | 65274 |
| Hexadecimal (base 16) | 6ABC |
| Base 3 | 1101111000 |
| As time | 27324 seconds = 7 h 35 min 24 s |
Is 27324 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27324 ÷ 2 = 13662) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27324 ÷ 3 = 9108) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27324 ÷ 4 = 6831) | 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 (27324 ÷ 6 = 4554) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (27324 ÷ 9 = 3036) | 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 | Yes (27324 ÷ 11 = 2484) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (27324 ÷ 12 = 2277) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27324 a prime number?
No. 27324 = × × 11 × 23, so it is divisible by 2.
What are the factors of 27324?
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 23, 27, 33, 36, 44, 46, 54, 66, 69, 92, 99, 108, 132, 138, 198, 207, 253, 276, 297, 396, 414, 506, 594, 621, 759, 828, 1012, 1188, 1242, 1518, 2277, 2484, 3036, 4554, 6831, 9108, 13662, 27324.
What is 27324 in binary?
110101010111100 (hexadecimal 6ABC, octal 65274).
What is the square root of 27324?
About 165.2997, exactly 6√759.
Is 27324 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 27324?
27324 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.