The number 27297
27297 is a composite number with 10 divisors. Its prime factorisation is × 337. Divisors (10): 1, 3, 9, 27, 81, 337, 1011, 3033, 9099, 27297.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27297: a Harshad number: divisible by its digit sum 27.
- 2
27297 is composite. Its prime factorisation is
- 3
The divisors add up to 40898; without 27297 itself that is 13601, so 27297 is deficient (13601 is less than 27297). Euler's totient φ(27297) = 18144 numbers up to 27297 share no factor with it.
- 4
The digits of 27297 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 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27297 = 3^{4} \times 337 \]27297 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 40898 |
| Euler totient φ(n) | 18144 |
| Square | 745126209 |
| Cube | 20339710127073 |
| Square root | 165.218038 (= 9√337) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.7297 × |
27297 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand two hundred and ninety-seven |
| Binary (base 2) | 110101010100001 |
| Octal (base 8) | 65241 |
| Hexadecimal (base 16) | 6AA1 |
| Base 3 | 1101110000 |
| As time | 27297 seconds = 7 h 34 min 57 s |
Is 27297 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27297 ÷ 3 = 9099) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | No (remainder 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (27297 ÷ 9 = 3033) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27297 a prime number?
No. 27297 = × 337, so it is divisible by 3.
What are the factors of 27297?
1, 3, 9, 27, 81, 337, 1011, 3033, 9099, 27297.
What is 27297 in binary?
110101010100001 (hexadecimal 6AA1, octal 65241).
What is the square root of 27297?
About 165.2180, exactly 9√337.
Is 27297 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 27297?
27297 is a Harshad number: divisible by its digit sum 27.