The number 27068
27068 is a composite number with 12 divisors. Its prime factorisation is × 67 × 101. Divisors (12): 1, 2, 4, 67, 101, 134, 202, 268, 404, 6767, 13534, 27068.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27068 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27068 is composite. Its prime factorisation is
- 3
The divisors add up to 48552; without 27068 itself that is 21484, so 27068 is deficient (21484 is less than 27068). Euler's totient φ(27068) = 13200 numbers up to 27068 share no factor with it.
- 4
The digits of 27068 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27068 = 2^{2} \times 67 \times 101 \]27068 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 48552 |
| Euler totient φ(n) | 13200 |
| Square | 732676624 |
| Cube | 19832090858432 |
| Square root | 164.523555 (= 2√6767) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.7068 × |
27068 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and sixty-eight |
| Binary (base 2) | 110100110111100 |
| Octal (base 8) | 64674 |
| Hexadecimal (base 16) | 69BC |
| Base 3 | 1101010112 |
| As time | 27068 seconds = 7 h 31 min 8 s |
Is 27068 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27068 ÷ 2 = 13534) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27068 ÷ 4 = 6767) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27068 a prime number?
No. 27068 = × 67 × 101, so it is divisible by 2.
What are the factors of 27068?
1, 2, 4, 67, 101, 134, 202, 268, 404, 6767, 13534, 27068.
What is 27068 in binary?
110100110111100 (hexadecimal 69BC, octal 64674).
What is the square root of 27068?
About 164.5236, exactly 2√6767.
Is 27068 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 27068?
It is a composite number with 12 divisors.