The number 27996
27996 is a composite number with 12 divisors. Its prime factorisation is × 3 × 2333. Divisors (12): 1, 2, 3, 4, 6, 12, 2333, 4666, 6999, 9332, 13998, 27996.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27996 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27996 is composite. Its prime factorisation is
- 3
The divisors add up to 65352; without 27996 itself that is 37356, so 27996 is abundant (37356 is more than 27996). Euler's totient φ(27996) = 9328 numbers up to 27996 share no factor with it.
- 4
The digits of 27996 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27996 = 2^{2} \times 3 \times 2333 \]27996 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 65352 |
| Euler totient φ(n) | 9328 |
| Square | 783776016 |
| Cube | 21942593343936 |
| Square root | 167.320053 (= 2√6999) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 134 |
| Scientific notation | 2.7996 × |
27996 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand nine hundred and ninety-six |
| Binary (base 2) | 110110101011100 |
| Octal (base 8) | 66534 |
| Hexadecimal (base 16) | 6D5C |
| Base 3 | 1102101220 |
| As time | 27996 seconds = 7 h 46 min 36 s |
Is 27996 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27996 ÷ 2 = 13998) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27996 ÷ 3 = 9332) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27996 ÷ 4 = 6999) | 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 | Yes (27996 ÷ 6 = 4666) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (27996 ÷ 12 = 2333) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27996 a prime number?
No. 27996 = × 3 × 2333, so it is divisible by 2.
What are the factors of 27996?
1, 2, 3, 4, 6, 12, 2333, 4666, 6999, 9332, 13998, 27996.
What is 27996 in binary?
110110101011100 (hexadecimal 6D5C, octal 66534).
What is the square root of 27996?
About 167.3201, exactly 2√6999.
Is 27996 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 27996?
It is a composite number with 12 divisors.