The number 27075
27075 is a composite number with 18 divisors. Its prime factorisation is 3 × × . Divisors (18): 1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 361, 475, 1083, 1425, 1805, 5415 … 27075.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27075 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27075 is composite. Its prime factorisation is
- 3
The divisors add up to 47244; without 27075 itself that is 20169, so 27075 is deficient (20169 is less than 27075). Euler's totient φ(27075) = 13680 numbers up to 27075 share no factor with it.
- 4
The digits of 27075 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27075 = 3 \times 5^{2} \times 19^{2} \]27075 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 47244 |
| Euler totient φ(n) | 13680 |
| Square | 733055625 |
| Cube | 19847481046875 |
| Square root | 164.544827 (= 95√3) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.7075 × |
27075 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and seventy-five |
| Binary (base 2) | 110100111000011 |
| Octal (base 8) | 64703 |
| Hexadecimal (base 16) | 69C3 |
| Base 3 | 1101010210 |
| As time | 27075 seconds = 7 h 31 min 15 s |
Is 27075 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 (27075 ÷ 3 = 9025) | 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 | Yes (27075 ÷ 5 = 5415) | 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 6) | 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 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 27075 a prime number?
No. 27075 = 3 × × , so it is divisible by 3.
What are the factors of 27075?
1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 361, 475, 1083, 1425, 1805, 5415, 9025, 27075.
What is 27075 in binary?
110100111000011 (hexadecimal 69C3, octal 64703).
What is the square root of 27075?
About 164.5448, exactly 95√3.
Is 27075 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 27075?
It is a composite number with 18 divisors.