The number 27268
27268 is a composite number with 12 divisors. Its prime factorisation is × 17 × 401. Divisors (12): 1, 2, 4, 17, 34, 68, 401, 802, 1604, 6817, 13634, 27268.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27268 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27268 is composite. Its prime factorisation is
- 3
The divisors add up to 50652; without 27268 itself that is 23384, so 27268 is deficient (23384 is less than 27268). Euler's totient φ(27268) = 12800 numbers up to 27268 share no factor with it.
- 4
The digits of 27268 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27268 = 2^{2} \times 17 \times 401 \]27268 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 50652 |
| Euler totient φ(n) | 12800 |
| Square | 743543824 |
| Cube | 20274952992832 |
| Square root | 165.130252 (= 2√6817) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.7268 × |
27268 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand two hundred and sixty-eight |
| Binary (base 2) | 110101010000100 |
| Octal (base 8) | 65204 |
| Hexadecimal (base 16) | 6A84 |
| Base 3 | 1101101221 |
| As time | 27268 seconds = 7 h 34 min 28 s |
Is 27268 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27268 ÷ 2 = 13634) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27268 ÷ 4 = 6817) | 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 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27268 a prime number?
No. 27268 = × 17 × 401, so it is divisible by 2.
What are the factors of 27268?
1, 2, 4, 17, 34, 68, 401, 802, 1604, 6817, 13634, 27268.
What is 27268 in binary?
110101010000100 (hexadecimal 6A84, octal 65204).
What is the square root of 27268?
About 165.1303, exactly 2√6817.
Is 27268 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 27268?
It is a composite number with 12 divisors.