The number 27135
27135 is a composite number with 20 divisors. Its prime factorisation is × 5 × 67. Divisors (20): 1, 3, 5, 9, 15, 27, 45, 67, 81, 135, 201, 335, 405, 603, 1005, 1809 … 27135.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27135 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27135 is composite. Its prime factorisation is
- 3
The divisors add up to 49368; without 27135 itself that is 22233, so 27135 is deficient (22233 is less than 27135). Euler's totient φ(27135) = 14256 numbers up to 27135 share no factor with it.
- 4
The digits of 27135 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 258 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27135 = 3^{4} \times 5 \times 67 \]27135 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 49368 |
| Euler totient φ(n) | 14256 |
| Square | 736308225 |
| Cube | 19979723685375 |
| Square root | 164.727047 (= 9√335) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 258 |
| Scientific notation | 2.7135 × |
27135 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand one hundred and thirty-five |
| Binary (base 2) | 110100111111111 |
| Octal (base 8) | 64777 |
| Hexadecimal (base 16) | 69FF |
| Base 3 | 1101020000 |
| As time | 27135 seconds = 7 h 32 min 15 s |
Is 27135 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 (27135 ÷ 3 = 9045) | 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 (27135 ÷ 5 = 5427) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (27135 ÷ 9 = 3015) | 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 9) | 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 27135 a prime number?
No. 27135 = × 5 × 67, so it is divisible by 3.
What are the factors of 27135?
1, 3, 5, 9, 15, 27, 45, 67, 81, 135, 201, 335, 405, 603, 1005, 1809, 3015, 5427, 9045, 27135.
What is 27135 in binary?
110100111111111 (hexadecimal 69FF, octal 64777).
What is the square root of 27135?
About 164.7270, exactly 9√335.
Is 27135 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 27135?
It is a composite number with 20 divisors.