The number 996
996 is a composite number with 12 divisors. Its prime factorisation is × 3 × 83. Divisors (12): 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
996 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
996 is composite. Its prime factorisation is
- 3
The divisors add up to 2352; without 996 itself that is 1356, so 996 is abundant (1356 is more than 996). Euler's totient φ(996) = 328 numbers up to 996 share no factor with it.
- 4
The digits of 996 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 996 = 2^{2} \times 3 \times 83 \]996 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 2352 |
| Euler totient φ(n) | 328 |
| Square | 992016 |
| Cube | 988047936 |
| Square root | 31.559468 (= 2√249) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 49 |
| Scientific notation | 9.96 × |
996 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and ninety-six |
| Roman numerals | CMXCVI |
| Binary (base 2) | 1111100100 |
| Octal (base 8) | 1744 |
| Hexadecimal (base 16) | 3E4 |
| Base 3 | 1100220 |
| As time | 996 seconds = 16 min 36 s |
Is 996 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (996 ÷ 2 = 498) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (996 ÷ 3 = 332) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (996 ÷ 4 = 249) | 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 | Yes (996 ÷ 6 = 166) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (996 ÷ 12 = 83) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 996 a prime number?
No. 996 = × 3 × 83, so it is divisible by 2.
What are the factors of 996?
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996.
What is 996 in binary?
1111100100 (hexadecimal 3E4, octal 1744).
What is the square root of 996?
About 31.5595, exactly 2√249.
What is 996 in Roman numerals?
CMXCVI.
Is 996 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 996?
It is a composite number with 12 divisors.