The number 2994
2994 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 499. Divisors (8): 1, 2, 3, 6, 499, 998, 1497, 2994.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2994 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2994 is composite. Its prime factorisation is
- 3
The divisors add up to 6000; without 2994 itself that is 3006, so 2994 is abundant (3006 is more than 2994). Euler's totient φ(2994) = 996 numbers up to 2994 share no factor with it.
- 4
The digits of 2994 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 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2994 = 2 \times 3 \times 499 \]
2994 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6000 |
| Euler totient φ(n) | 996 |
| Square | 8964036 |
| Cube | 26838323784 |
| Square root | 54.717456 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 48 |
| Scientific notation | 2.994 × |
2994 in other forms
| Form | Value |
|---|---|
| In words | two thousand nine hundred and ninety-four |
| Roman numerals | MMCMXCIV |
| Binary (base 2) | 101110110010 |
| Octal (base 8) | 5662 |
| Hexadecimal (base 16) | BB2 |
| Base 3 | 11002220 |
| As time | 2994 seconds = 49 min 54 s |
Is 2994 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2994 ÷ 2 = 1497) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2994 ÷ 3 = 998) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (2994 ÷ 6 = 499) | 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 2) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2994 a prime number?
No. 2994 = 2 × 3 × 499, so it is divisible by 2.
What are the factors of 2994?
1, 2, 3, 6, 499, 998, 1497, 2994.
What is 2994 in binary?
101110110010 (hexadecimal BB2, octal 5662).
What is the square root of 2994?
About 54.7175.
What is 2994 in Roman numerals?
MMCMXCIV.
Is 2994 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 2994?
It is a composite number with 8 divisors.