The number 27088
27088 is a composite number with 10 divisors. Its prime factorisation is × 1693. Divisors (10): 1, 2, 4, 8, 16, 1693, 3386, 6772, 13544, 27088.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27088 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27088 is composite. Its prime factorisation is
- 3
The divisors add up to 52514; without 27088 itself that is 25426, so 27088 is deficient (25426 is less than 27088). Euler's totient φ(27088) = 13536 numbers up to 27088 share no factor with it.
- 4
The digits of 27088 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27088 = 2^{4} \times 1693 \]27088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 52514 |
| Euler totient φ(n) | 13536 |
| Square | 733759744 |
| Cube | 19876083945472 |
| Square root | 164.584325 (= 4√1693) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.7088 × |
27088 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and eighty-eight |
| Binary (base 2) | 110100111010000 |
| Octal (base 8) | 64720 |
| Hexadecimal (base 16) | 69D0 |
| Base 3 | 1101011021 |
| As time | 27088 seconds = 7 h 31 min 28 s |
Is 27088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27088 ÷ 2 = 13544) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27088 ÷ 4 = 6772) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (27088 ÷ 8 = 3386) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27088 a prime number?
No. 27088 = × 1693, so it is divisible by 2.
What are the factors of 27088?
1, 2, 4, 8, 16, 1693, 3386, 6772, 13544, 27088.
What is 27088 in binary?
110100111010000 (hexadecimal 69D0, octal 64720).
What is the square root of 27088?
About 164.5843, exactly 4√1693.
Is 27088 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 27088?
It is a composite number with 10 divisors.