The number 27288
27288 is a composite number with 24 divisors. Its prime factorisation is × × 379. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 379, 758, 1137, 1516 … 27288.
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How to work it out
- 1
27288 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27288 is composite. Its prime factorisation is
- 3
The divisors add up to 74100; without 27288 itself that is 46812, so 27288 is abundant (46812 is more than 27288). Euler's totient φ(27288) = 9072 numbers up to 27288 share no factor with it.
- 4
The digits of 27288 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 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27288 = 2^{3} \times 3^{2} \times 379 \]27288 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 74100 |
| Euler totient φ(n) | 9072 |
| Square | 744634944 |
| Cube | 20319598351872 |
| Square root | 165.190799 (= 6√758) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.7288 × |
27288 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand two hundred and eighty-eight |
| Binary (base 2) | 110101010011000 |
| Octal (base 8) | 65230 |
| Hexadecimal (base 16) | 6A98 |
| Base 3 | 1101102200 |
| As time | 27288 seconds = 7 h 34 min 48 s |
Is 27288 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27288 ÷ 2 = 13644) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27288 ÷ 3 = 9096) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27288 ÷ 4 = 6822) | 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 | Yes (27288 ÷ 6 = 4548) | 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 (27288 ÷ 8 = 3411) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (27288 ÷ 9 = 3032) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (27288 ÷ 12 = 2274) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27288 a prime number?
No. 27288 = × × 379, so it is divisible by 2.
What are the factors of 27288?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 379, 758, 1137, 1516, 2274, 3032, 3411, 4548, 6822, 9096, 13644, 27288.
What is 27288 in binary?
110101010011000 (hexadecimal 6A98, octal 65230).
What is the square root of 27288?
About 165.1908, exactly 6√758.
Is 27288 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 27288?
It is a composite number with 24 divisors.