The number 2996
2996 is a composite number with 12 divisors. Its prime factorisation is × 7 × 107. Divisors (12): 1, 2, 4, 7, 14, 28, 107, 214, 428, 749, 1498, 2996.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2996 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2996 is composite. Its prime factorisation is
- 3
The divisors add up to 6048; without 2996 itself that is 3052, so 2996 is abundant (3052 is more than 2996). Euler's totient φ(2996) = 1272 numbers up to 2996 share no factor with it.
- 4
The digits of 2996 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2996 = 2^{2} \times 7 \times 107 \]2996 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 6048 |
| Euler totient φ(n) | 1272 |
| Square | 8976016 |
| Cube | 26892143936 |
| Square root | 54.735729 (= 2√749) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 48 |
| Scientific notation | 2.996 × |
2996 in other forms
| Form | Value |
|---|---|
| In words | two thousand nine hundred and ninety-six |
| Roman numerals | MMCMXCVI |
| Binary (base 2) | 101110110100 |
| Octal (base 8) | 5664 |
| Hexadecimal (base 16) | BB4 |
| Base 3 | 11002222 |
| As time | 2996 seconds = 49 min 56 s |
Is 2996 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2996 ÷ 2 = 1498) | 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 (2996 ÷ 4 = 749) | 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 | Yes (2996 ÷ 7 = 428) | 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 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 4) | 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 2996 a prime number?
No. 2996 = × 7 × 107, so it is divisible by 2.
What are the factors of 2996?
1, 2, 4, 7, 14, 28, 107, 214, 428, 749, 1498, 2996.
What is 2996 in binary?
101110110100 (hexadecimal BB4, octal 5664).
What is the square root of 2996?
About 54.7357, exactly 2√749.
What is 2996 in Roman numerals?
MMCMXCVI.
Is 2996 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 2996?
It is a composite number with 12 divisors.