The number 27076
27076 is a composite number with 12 divisors. Its prime factorisation is × 7 × 967. Divisors (12): 1, 2, 4, 7, 14, 28, 967, 1934, 3868, 6769, 13538, 27076.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27076 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27076 is composite. Its prime factorisation is
- 3
The divisors add up to 54208; without 27076 itself that is 27132, so 27076 is abundant (27132 is more than 27076). Euler's totient φ(27076) = 11592 numbers up to 27076 share no factor with it.
- 4
The digits of 27076 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27076 = 2^{2} \times 7 \times 967 \]27076 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 54208 |
| Euler totient φ(n) | 11592 |
| Square | 733109776 |
| Cube | 19849680294976 |
| Square root | 164.547865 (= 2√6769) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.7076 × |
27076 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and seventy-six |
| Binary (base 2) | 110100111000100 |
| Octal (base 8) | 64704 |
| Hexadecimal (base 16) | 69C4 |
| Base 3 | 1101010211 |
| As time | 27076 seconds = 7 h 31 min 16 s |
Is 27076 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27076 ÷ 2 = 13538) | 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 (27076 ÷ 4 = 6769) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (27076 ÷ 7 = 3868) | 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 4) | 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 5) | 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 27076 a prime number?
No. 27076 = × 7 × 967, so it is divisible by 2.
What are the factors of 27076?
1, 2, 4, 7, 14, 28, 967, 1934, 3868, 6769, 13538, 27076.
What is 27076 in binary?
110100111000100 (hexadecimal 69C4, octal 64704).
What is the square root of 27076?
About 164.5479, exactly 2√6769.
Is 27076 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 27076?
It is a composite number with 12 divisors.