The number 27198
27198 is a composite number with 12 divisors. Its prime factorisation is 2 × × 1511. Divisors (12): 1, 2, 3, 6, 9, 18, 1511, 3022, 4533, 9066, 13599, 27198.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27198 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27198 is composite. Its prime factorisation is
- 3
The divisors add up to 58968; without 27198 itself that is 31770, so 27198 is abundant (31770 is more than 27198). Euler's totient φ(27198) = 9060 numbers up to 27198 share no factor with it.
- 4
The digits of 27198 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27198 = 2 \times 3^{2} \times 1511 \]27198 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 58968 |
| Euler totient φ(n) | 9060 |
| Square | 739731204 |
| Cube | 20119209286392 |
| Square root | 164.918162 (= 3√3022) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 121 |
| Scientific notation | 2.7198 × |
27198 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand one hundred and ninety-eight |
| Binary (base 2) | 110101000111110 |
| Octal (base 8) | 65076 |
| Hexadecimal (base 16) | 6A3E |
| Base 3 | 1101022100 |
| As time | 27198 seconds = 7 h 33 min 18 s |
Is 27198 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27198 ÷ 2 = 13599) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27198 ÷ 3 = 9066) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (27198 ÷ 6 = 4533) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (27198 ÷ 9 = 3022) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27198 a prime number?
No. 27198 = 2 × × 1511, so it is divisible by 2.
What are the factors of 27198?
1, 2, 3, 6, 9, 18, 1511, 3022, 4533, 9066, 13599, 27198.
What is 27198 in binary?
110101000111110 (hexadecimal 6A3E, octal 65076).
What is the square root of 27198?
About 164.9182, exactly 3√3022.
Is 27198 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 27198?
It is a composite number with 12 divisors.