The number 2988
2988 is a composite number with 18 divisors. Its prime factorisation is × × 83. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 83, 166, 249, 332, 498, 747, 996 … 2988.
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How to work it out
- 1
2988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2988 is composite. Its prime factorisation is
- 3
The divisors add up to 7644; without 2988 itself that is 4656, so 2988 is abundant (4656 is more than 2988). Euler's totient φ(2988) = 984 numbers up to 2988 share no factor with it.
- 4
The digits of 2988 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2988 = 2^{2} \times 3^{2} \times 83 \]2988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 7644 |
| Euler totient φ(n) | 984 |
| Square | 8928144 |
| Cube | 26677294272 |
| Square root | 54.662601 (= 6√83) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 48 |
| Scientific notation | 2.988 × |
2988 in other forms
| Form | Value |
|---|---|
| In words | two thousand nine hundred and eighty-eight |
| Roman numerals | MMCMLXXXVIII |
| Binary (base 2) | 101110101100 |
| Octal (base 8) | 5654 |
| Hexadecimal (base 16) | BAC |
| Base 3 | 11002200 |
| As time | 2988 seconds = 49 min 48 s |
Is 2988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2988 ÷ 2 = 1494) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2988 ÷ 3 = 996) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2988 ÷ 4 = 747) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (2988 ÷ 6 = 498) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (2988 ÷ 9 = 332) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (2988 ÷ 12 = 249) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2988 a prime number?
No. 2988 = × × 83, so it is divisible by 2.
What are the factors of 2988?
1, 2, 3, 4, 6, 9, 12, 18, 36, 83, 166, 249, 332, 498, 747, 996, 1494, 2988.
What is 2988 in binary?
101110101100 (hexadecimal BAC, octal 5654).
What is the square root of 2988?
About 54.6626, exactly 6√83.
What is 2988 in Roman numerals?
MMCMLXXXVIII.
Is 2988 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 2988?
It is a composite number with 18 divisors.