The number 27108
27108 is a composite number with 24 divisors. Its prime factorisation is × × 251. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 251, 502, 753, 1004 … 27108.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27108: a Harshad number: divisible by its digit sum 18.
- 2
27108 is composite. Its prime factorisation is
- 3
The divisors add up to 70560; without 27108 itself that is 43452, so 27108 is abundant (43452 is more than 27108). Euler's totient φ(27108) = 9000 numbers up to 27108 share no factor with it.
- 4
The digits of 27108 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27108 = 2^{2} \times 3^{3} \times 251 \]27108 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 70560 |
| Euler totient φ(n) | 9000 |
| Square | 734843664 |
| Cube | 19920142043712 |
| Square root | 164.645073 (= 6√753) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.7108 × |
27108 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand one hundred and eight |
| Binary (base 2) | 110100111100100 |
| Octal (base 8) | 64744 |
| Hexadecimal (base 16) | 69E4 |
| Base 3 | 1101012000 |
| As time | 27108 seconds = 7 h 31 min 48 s |
Is 27108 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27108 ÷ 2 = 13554) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27108 ÷ 3 = 9036) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27108 ÷ 4 = 6777) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (27108 ÷ 6 = 4518) | 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 | Yes (27108 ÷ 9 = 3012) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (27108 ÷ 12 = 2259) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27108 a prime number?
No. 27108 = × × 251, so it is divisible by 2.
What are the factors of 27108?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 251, 502, 753, 1004, 1506, 2259, 3012, 4518, 6777, 9036, 13554, 27108.
What is 27108 in binary?
110100111100100 (hexadecimal 69E4, octal 64744).
What is the square root of 27108?
About 164.6451, exactly 6√753.
Is 27108 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 27108?
27108 is a Harshad number: divisible by its digit sum 18.