The number 27312
27312 is a composite number with 20 divisors. Its prime factorisation is × 3 × 569. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 569, 1138, 1707, 2276, 3414, 4552 … 27312.
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How to work it out
- 1
27312 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27312 is composite. Its prime factorisation is
- 3
The divisors add up to 70680; without 27312 itself that is 43368, so 27312 is abundant (43368 is more than 27312). Euler's totient φ(27312) = 9088 numbers up to 27312 share no factor with it.
- 4
The digits of 27312 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27312 = 2^{4} \times 3 \times 569 \]27312 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 70680 |
| Euler totient φ(n) | 9088 |
| Square | 745945344 |
| Cube | 20373259235328 |
| Square root | 165.263426 (= 4√1707) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.7312 × |
27312 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand three hundred and twelve |
| Binary (base 2) | 110101010110000 |
| Octal (base 8) | 65260 |
| Hexadecimal (base 16) | 6AB0 |
| Base 3 | 1101110120 |
| As time | 27312 seconds = 7 h 35 min 12 s |
Is 27312 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27312 ÷ 2 = 13656) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27312 ÷ 3 = 9104) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27312 ÷ 4 = 6828) | 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 (27312 ÷ 6 = 4552) | 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 | Yes (27312 ÷ 8 = 3414) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (27312 ÷ 12 = 2276) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27312 a prime number?
No. 27312 = × 3 × 569, so it is divisible by 2.
What are the factors of 27312?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 569, 1138, 1707, 2276, 3414, 4552, 6828, 9104, 13656, 27312.
What is 27312 in binary?
110101010110000 (hexadecimal 6AB0, octal 65260).
What is the square root of 27312?
About 165.2634, exactly 4√1707.
Is 27312 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 27312?
It is a composite number with 20 divisors.