The number 27188
27188 is a composite number with 12 divisors. Its prime factorisation is × 7 × 971. Divisors (12): 1, 2, 4, 7, 14, 28, 971, 1942, 3884, 6797, 13594, 27188.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27188 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27188 is composite. Its prime factorisation is
- 3
The divisors add up to 54432; without 27188 itself that is 27244, so 27188 is abundant (27244 is more than 27188). Euler's totient φ(27188) = 11640 numbers up to 27188 share no factor with it.
- 4
The digits of 27188 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27188 = 2^{2} \times 7 \times 971 \]27188 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 54432 |
| Euler totient φ(n) | 11640 |
| Square | 739187344 |
| Cube | 20097025508672 |
| Square root | 164.887841 (= 2√6797) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.7188 × |
27188 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand one hundred and eighty-eight |
| Binary (base 2) | 110101000110100 |
| Octal (base 8) | 65064 |
| Hexadecimal (base 16) | 6A34 |
| Base 3 | 1101021222 |
| As time | 27188 seconds = 7 h 33 min 8 s |
Is 27188 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27188 ÷ 2 = 13594) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27188 ÷ 4 = 6797) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (27188 ÷ 7 = 3884) | 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 | No (remainder 8) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27188 a prime number?
No. 27188 = × 7 × 971, so it is divisible by 2.
What are the factors of 27188?
1, 2, 4, 7, 14, 28, 971, 1942, 3884, 6797, 13594, 27188.
What is 27188 in binary?
110101000110100 (hexadecimal 6A34, octal 65064).
What is the square root of 27188?
About 164.8878, exactly 2√6797.
Is 27188 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 27188?
It is a composite number with 12 divisors.