The number 27387
27387 is a composite number with 12 divisors. Its prime factorisation is × 17 × 179. Divisors (12): 1, 3, 9, 17, 51, 153, 179, 537, 1611, 3043, 9129, 27387.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27387 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27387 is composite. Its prime factorisation is
- 3
The divisors add up to 42120; without 27387 itself that is 14733, so 27387 is deficient (14733 is less than 27387). Euler's totient φ(27387) = 17088 numbers up to 27387 share no factor with it.
- 4
The digits of 27387 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 183 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27387 = 3^{2} \times 17 \times 179 \]27387 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 42120 |
| Euler totient φ(n) | 17088 |
| Square | 750047769 |
| Cube | 20541558249603 |
| Square root | 165.490181 (= 3√3043) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 183 |
| Scientific notation | 2.7387 × |
27387 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand three hundred and eighty-seven |
| Binary (base 2) | 110101011111011 |
| Octal (base 8) | 65373 |
| Hexadecimal (base 16) | 6AFB |
| Base 3 | 1101120100 |
| As time | 27387 seconds = 7 h 36 min 27 s |
Is 27387 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 (27387 ÷ 3 = 9129) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (27387 ÷ 9 = 3043) | 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 8) | 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 27387 a prime number?
No. 27387 = × 17 × 179, so it is divisible by 3.
What are the factors of 27387?
1, 3, 9, 17, 51, 153, 179, 537, 1611, 3043, 9129, 27387.
What is 27387 in binary?
110101011111011 (hexadecimal 6AFB, octal 65373).
What is the square root of 27387?
About 165.4902, exactly 3√3043.
Is 27387 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 27387?
It is a composite number with 12 divisors.