The number 27096
27096 is a composite number with 16 divisors. Its prime factorisation is × 3 × 1129. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 1129, 2258, 3387, 4516, 6774, 9032, 13548, 27096.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27096: a Harshad number: divisible by its digit sum 24.
- 2
27096 is composite. Its prime factorisation is
- 3
The divisors add up to 67800; without 27096 itself that is 40704, so 27096 is abundant (40704 is more than 27096). Euler's totient φ(27096) = 9024 numbers up to 27096 share no factor with it.
- 4
The digits of 27096 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27096 = 2^{3} \times 3 \times 1129 \]27096 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 67800 |
| Euler totient φ(n) | 9024 |
| Square | 734193216 |
| Cube | 19893699380736 |
| Square root | 164.608627 (= 2√6774) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.7096 × |
27096 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and ninety-six |
| Binary (base 2) | 110100111011000 |
| Octal (base 8) | 64730 |
| Hexadecimal (base 16) | 69D8 |
| Base 3 | 1101011120 |
| As time | 27096 seconds = 7 h 31 min 36 s |
Is 27096 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27096 ÷ 2 = 13548) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27096 ÷ 3 = 9032) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27096 ÷ 4 = 6774) | 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 (27096 ÷ 6 = 4516) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (27096 ÷ 8 = 3387) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (27096 ÷ 12 = 2258) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27096 a prime number?
No. 27096 = × 3 × 1129, so it is divisible by 2.
What are the factors of 27096?
1, 2, 3, 4, 6, 8, 12, 24, 1129, 2258, 3387, 4516, 6774, 9032, 13548, 27096.
What is 27096 in binary?
110100111011000 (hexadecimal 69D8, octal 64730).
What is the square root of 27096?
About 164.6086, exactly 2√6774.
Is 27096 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 27096?
27096 is a Harshad number: divisible by its digit sum 24.