The number 27332
27332 is a composite number with 6 divisors. Its prime factorisation is × 6833. Divisors (6): 1, 2, 4, 6833, 13666, 27332.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27332 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27332 is composite. Its prime factorisation is
- 3
The divisors add up to 47838; without 27332 itself that is 20506, so 27332 is deficient (20506 is less than 27332). Euler's totient φ(27332) = 13664 numbers up to 27332 share no factor with it.
- 4
The digits of 27332 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27332 = 2^{2} \times 6833 \]27332 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 47838 |
| Euler totient φ(n) | 13664 |
| Square | 747038224 |
| Cube | 20418048738368 |
| Square root | 165.323924 (= 2√6833) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.7332 × |
27332 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand three hundred and thirty-two |
| Binary (base 2) | 110101011000100 |
| Octal (base 8) | 65304 |
| Hexadecimal (base 16) | 6AC4 |
| Base 3 | 1101111022 |
| As time | 27332 seconds = 7 h 35 min 32 s |
Is 27332 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27332 ÷ 2 = 13666) | 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 (27332 ÷ 4 = 6833) | 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 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 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 27332 a prime number?
No. 27332 = × 6833, so it is divisible by 2.
What are the factors of 27332?
1, 2, 4, 6833, 13666, 27332.
What is 27332 in binary?
110101011000100 (hexadecimal 6AC4, octal 65304).
What is the square root of 27332?
About 165.3239, exactly 2√6833.
Is 27332 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 27332?
It is a composite number with 6 divisors.