The number 27927
27927 is a composite number with 12 divisors. Its prime factorisation is × 29 × 107. Divisors (12): 1, 3, 9, 29, 87, 107, 261, 321, 963, 3103, 9309, 27927.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27927 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27927 is composite. Its prime factorisation is
- 3
The divisors add up to 42120; without 27927 itself that is 14193, so 27927 is deficient (14193 is less than 27927). Euler's totient φ(27927) = 17808 numbers up to 27927 share no factor with it.
- 4
The digits of 27927 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27927 = 3^{2} \times 29 \times 107 \]27927 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 42120 |
| Euler totient φ(n) | 17808 |
| Square | 779917329 |
| Cube | 21780751246983 |
| Square root | 167.113734 (= 3√3103) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.7927 × |
27927 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand nine hundred and twenty-seven |
| Binary (base 2) | 110110100010111 |
| Octal (base 8) | 66427 |
| Hexadecimal (base 16) | 6D17 |
| Base 3 | 1102022100 |
| As time | 27927 seconds = 7 h 45 min 27 s |
Is 27927 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 (27927 ÷ 3 = 9309) | 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 | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (27927 ÷ 9 = 3103) | 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 | No (remainder 9) | 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 27927 a prime number?
No. 27927 = × 29 × 107, so it is divisible by 3.
What are the factors of 27927?
1, 3, 9, 29, 87, 107, 261, 321, 963, 3103, 9309, 27927.
What is 27927 in binary?
110110100010111 (hexadecimal 6D17, octal 66427).
What is the square root of 27927?
About 167.1137, exactly 3√3103.
Is 27927 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 27927?
It is a composite number with 12 divisors.