The number 296
296 is a composite number with 8 divisors. Its prime factorisation is × 37. Divisors (8): 1, 2, 4, 8, 37, 74, 148, 296.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
296 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
296 is composite. Its prime factorisation is
- 3
The divisors add up to 570; without 296 itself that is 274, so 296 is deficient (274 is less than 296). Euler's totient φ(296) = 144 numbers up to 296 share no factor with it.
- 4
The digits of 296 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 24 steps to reach 1.
LaTeX source of the formulas on this page
\[ 296 = 2^{3} \times 37 \]296 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 570 |
| Euler totient φ(n) | 144 |
| Square | 87616 |
| Cube | 25934336 |
| Square root | 17.204651 (= 2√74) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 24 |
| Scientific notation | 2.96 × |
296 in other forms
| Form | Value |
|---|---|
| In words | two hundred and ninety-six |
| Roman numerals | CCXCVI |
| Binary (base 2) | 100101000 |
| Octal (base 8) | 450 |
| Hexadecimal (base 16) | 128 |
| Base 3 | 101222 |
| As time | 296 seconds = 4 min 56 s |
Is 296 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (296 ÷ 2 = 148) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (296 ÷ 4 = 74) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (296 ÷ 8 = 37) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 296 a prime number?
No. 296 = × 37, so it is divisible by 2.
What are the factors of 296?
1, 2, 4, 8, 37, 74, 148, 296.
What is 296 in binary?
100101000 (hexadecimal 128, octal 450).
What is the square root of 296?
About 17.2047, exactly 2√74.
What is 296 in Roman numerals?
CCXCVI.
Is 296 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 296?
It is a composite number with 8 divisors.