The number 796
796 is a composite number with 6 divisors. Its prime factorisation is × 199. Divisors (6): 1, 2, 4, 199, 398, 796.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
796 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
796 is composite. Its prime factorisation is
- 3
The divisors add up to 1400; without 796 itself that is 604, so 796 is deficient (604 is less than 796). Euler's totient φ(796) = 396 numbers up to 796 share no factor with it.
- 4
The digits of 796 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.
LaTeX source of the formulas on this page
\[ 796 = 2^{2} \times 199 \]796 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 1400 |
| Euler totient φ(n) | 396 |
| Square | 633616 |
| Cube | 504358336 |
| Square root | 28.213472 (= 2√199) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 121 |
| Scientific notation | 7.96 × |
796 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and ninety-six |
| Roman numerals | DCCXCVI |
| Binary (base 2) | 1100011100 |
| Octal (base 8) | 1434 |
| Hexadecimal (base 16) | 31C |
| Base 3 | 1002111 |
| As time | 796 seconds = 13 min 16 s |
Is 796 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (796 ÷ 2 = 398) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (796 ÷ 4 = 199) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | No (remainder 4) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 796 a prime number?
No. 796 = × 199, so it is divisible by 2.
What are the factors of 796?
1, 2, 4, 199, 398, 796.
What is 796 in binary?
1100011100 (hexadecimal 31C, octal 1434).
What is the square root of 796?
About 28.2135, exactly 2√199.
What is 796 in Roman numerals?
DCCXCVI.
Is 796 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 796?
It is a composite number with 6 divisors.