The number 2788
2788 is a composite number with 12 divisors. Its prime factorisation is × 17 × 41. Divisors (12): 1, 2, 4, 17, 34, 41, 68, 82, 164, 697, 1394, 2788.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2788 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2788 is composite. Its prime factorisation is
- 3
The divisors add up to 5292; without 2788 itself that is 2504, so 2788 is deficient (2504 is less than 2788). Euler's totient φ(2788) = 1280 numbers up to 2788 share no factor with it.
- 4
The digits of 2788 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2788 = 2^{2} \times 17 \times 41 \]2788 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 5292 |
| Euler totient φ(n) | 1280 |
| Square | 7772944 |
| Cube | 21670967872 |
| Square root | 52.801515 (= 2√697) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 128 |
| Scientific notation | 2.788 × |
2788 in other forms
| Form | Value |
|---|---|
| In words | two thousand seven hundred and eighty-eight |
| Roman numerals | MMDCCLXXXVIII |
| Binary (base 2) | 101011100100 |
| Octal (base 8) | 5344 |
| Hexadecimal (base 16) | AE4 |
| Base 3 | 10211021 |
| As time | 2788 seconds = 46 min 28 s |
Is 2788 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2788 ÷ 2 = 1394) | 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 (2788 ÷ 4 = 697) | 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 | No (remainder 4) | 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 7) | 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 5) | 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 2788 a prime number?
No. 2788 = × 17 × 41, so it is divisible by 2.
What are the factors of 2788?
1, 2, 4, 17, 34, 41, 68, 82, 164, 697, 1394, 2788.
What is 2788 in binary?
101011100100 (hexadecimal AE4, octal 5344).
What is the square root of 2788?
About 52.8015, exactly 2√697.
What is 2788 in Roman numerals?
MMDCCLXXXVIII.
Is 2788 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 2788?
It is a composite number with 12 divisors.