The number 297
297 is a binary palindrome (100101001). Its prime factorisation is × 11. Divisors (8): 1, 3, 9, 11, 27, 33, 99, 297.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 297: a binary palindrome (100101001).
- 2
297 is composite. Its prime factorisation is
- 3
The divisors add up to 480; without 297 itself that is 183, so 297 is deficient (183 is less than 297). Euler's totient φ(297) = 180 numbers up to 297 share no factor with it.
- 4
The digits of 297 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 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 297 = 3^{3} \times 11 \]297 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 480 |
| Euler totient φ(n) | 180 |
| Square | 88209 |
| Cube | 26198073 |
| Square root | 17.233688 (= 3√33) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 73 |
| Scientific notation | 2.97 × |
297 in other forms
| Form | Value |
|---|---|
| In words | two hundred and ninety-seven |
| Roman numerals | CCXCVII |
| Binary (base 2) | 100101001 |
| Octal (base 8) | 451 |
| Hexadecimal (base 16) | 129 |
| Base 3 | 102000 |
| As time | 297 seconds = 4 min 57 s |
Is 297 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 (297 ÷ 3 = 99) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (297 ÷ 9 = 33) | 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 | Yes (297 ÷ 11 = 27) | 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 297 a prime number?
No. 297 = × 11, so it is divisible by 3.
What are the factors of 297?
1, 3, 9, 11, 27, 33, 99, 297.
What is 297 in binary?
100101001 (hexadecimal 129, octal 451).
What is the square root of 297?
About 17.2337, exactly 3√33.
What is 297 in Roman numerals?
CCXCVII.
Is 297 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 297?
297 is a binary palindrome (100101001).