The number 27027
27027 is a composite number with 32 divisors. Its prime factorisation is × 7 × 11 × 13. Divisors (32): 1, 3, 7, 9, 11, 13, 21, 27, 33, 39, 63, 77, 91, 99, 117, 143 … 27027.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27027 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27027 is composite. Its prime factorisation is
- 3
The divisors add up to 53760; without 27027 itself that is 26733, so 27027 is deficient (26733 is less than 27027). Euler's totient φ(27027) = 12960 numbers up to 27027 share no factor with it.
- 4
The digits of 27027 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 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27027 = 3^{3} \times 7 \times 11 \times 13 \]27027 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 53760 |
| Euler totient φ(n) | 12960 |
| Square | 730458729 |
| Cube | 19742108068683 |
| Square root | 164.398905 (= 3√3003) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.7027 × |
27027 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and twenty-seven |
| Binary (base 2) | 110100110010011 |
| Octal (base 8) | 64623 |
| Hexadecimal (base 16) | 6993 |
| Base 3 | 1101002000 |
| As time | 27027 seconds = 7 h 30 min 27 s |
Is 27027 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 (27027 ÷ 3 = 9009) | 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 | No (remainder 2) | 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 | Yes (27027 ÷ 7 = 3861) | 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 | Yes (27027 ÷ 9 = 3003) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (27027 ÷ 11 = 2457) | 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 27027 a prime number?
No. 27027 = × 7 × 11 × 13, so it is divisible by 3.
What are the factors of 27027?
1, 3, 7, 9, 11, 13, 21, 27, 33, 39, 63, 77, 91, 99, 117, 143, 189, 231, 273, 297, 351, 429, 693, 819, 1001, 1287, 2079, 2457, 3003, 3861, 9009, 27027.
What is 27027 in binary?
110100110010011 (hexadecimal 6993, octal 64623).
What is the square root of 27027?
About 164.3989, exactly 3√3003.
Is 27027 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 27027?
It is a composite number with 32 divisors.