The number 27009
27009 is a composite number with 6 divisors. Its prime factorisation is × 3001. Divisors (6): 1, 3, 9, 3001, 9003, 27009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27009 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27009 is composite. Its prime factorisation is
- 3
The divisors add up to 39026; without 27009 itself that is 12017, so 27009 is deficient (12017 is less than 27009). Euler's totient φ(27009) = 18000 numbers up to 27009 share no factor with it.
- 4
The digits of 27009 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 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27009 = 3^{2} \times 3001 \]27009 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 39026 |
| Euler totient φ(n) | 18000 |
| Square | 729486081 |
| Cube | 19702689561729 |
| Square root | 164.344151 (= 3√3001) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 77 |
| Scientific notation | 2.7009 × |
27009 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and nine |
| Binary (base 2) | 110100110000001 |
| Octal (base 8) | 64601 |
| Hexadecimal (base 16) | 6981 |
| Base 3 | 1101001100 |
| As time | 27009 seconds = 7 h 30 min 9 s |
Is 27009 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 (27009 ÷ 3 = 9003) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (27009 ÷ 9 = 3001) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27009 a prime number?
No. 27009 = × 3001, so it is divisible by 3.
What are the factors of 27009?
1, 3, 9, 3001, 9003, 27009.
What is 27009 in binary?
110100110000001 (hexadecimal 6981, octal 64601).
What is the square root of 27009?
About 164.3442, exactly 3√3001.
Is 27009 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 27009?
It is a composite number with 6 divisors.