The number 27066
27066 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 13 × 347. Divisors (16): 1, 2, 3, 6, 13, 26, 39, 78, 347, 694, 1041, 2082, 4511, 9022, 13533, 27066.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27066 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27066 is composite. Its prime factorisation is
- 3
The divisors add up to 58464; without 27066 itself that is 31398, so 27066 is abundant (31398 is more than 27066). Euler's totient φ(27066) = 8304 numbers up to 27066 share no factor with it.
- 4
The digits of 27066 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 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27066 = 2 \times 3 \times 13 \times 347 \]
27066 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 58464 |
| Euler totient φ(n) | 8304 |
| Square | 732568356 |
| Cube | 19827695123496 |
| Square root | 164.517476 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.7066 × |
27066 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and sixty-six |
| Binary (base 2) | 110100110111010 |
| Octal (base 8) | 64672 |
| Hexadecimal (base 16) | 69BA |
| Base 3 | 1101010110 |
| As time | 27066 seconds = 7 h 31 min 6 s |
Is 27066 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27066 ÷ 2 = 13533) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27066 ÷ 3 = 9022) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (27066 ÷ 6 = 4511) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | 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 6) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27066 a prime number?
No. 27066 = 2 × 3 × 13 × 347, so it is divisible by 2.
What are the factors of 27066?
1, 2, 3, 6, 13, 26, 39, 78, 347, 694, 1041, 2082, 4511, 9022, 13533, 27066.
What is 27066 in binary?
110100110111010 (hexadecimal 69BA, octal 64672).
What is the square root of 27066?
About 164.5175.
Is 27066 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 27066?
It is a composite number with 16 divisors.