The number 27732
27732 is a composite number with 12 divisors. Its prime factorisation is × 3 × 2311. Divisors (12): 1, 2, 3, 4, 6, 12, 2311, 4622, 6933, 9244, 13866, 27732.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27732 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27732 is composite. Its prime factorisation is
- 3
The divisors add up to 64736; without 27732 itself that is 37004, so 27732 is abundant (37004 is more than 27732). Euler's totient φ(27732) = 9240 numbers up to 27732 share no factor with it.
- 4
The digits of 27732 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 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27732 = 2^{2} \times 3 \times 2311 \]27732 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 64736 |
| Euler totient φ(n) | 9240 |
| Square | 769063824 |
| Cube | 21327677967168 |
| Square root | 166.529277 (= 2√6933) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 33 |
| Scientific notation | 2.7732 × |
27732 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand seven hundred and thirty-two |
| Binary (base 2) | 110110001010100 |
| Octal (base 8) | 66124 |
| Hexadecimal (base 16) | 6C54 |
| Base 3 | 1102001010 |
| As time | 27732 seconds = 7 h 42 min 12 s |
Is 27732 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27732 ÷ 2 = 13866) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27732 ÷ 3 = 9244) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27732 ÷ 4 = 6933) | 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 | Yes (27732 ÷ 6 = 4622) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (27732 ÷ 12 = 2311) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27732 a prime number?
No. 27732 = × 3 × 2311, so it is divisible by 2.
What are the factors of 27732?
1, 2, 3, 4, 6, 12, 2311, 4622, 6933, 9244, 13866, 27732.
What is 27732 in binary?
110110001010100 (hexadecimal 6C54, octal 66124).
What is the square root of 27732?
About 166.5293, exactly 2√6933.
Is 27732 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 27732?
It is a composite number with 12 divisors.