The number 2799
2799 is a composite number with 6 divisors. Its prime factorisation is × 311. Divisors (6): 1, 3, 9, 311, 933, 2799.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2799 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2799 is composite. Its prime factorisation is
- 3
The divisors add up to 4056; without 2799 itself that is 1257, so 2799 is deficient (1257 is less than 2799). Euler's totient φ(2799) = 1860 numbers up to 2799 share no factor with it.
- 4
The digits of 2799 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 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2799 = 3^{2} \times 311 \]2799 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 4056 |
| Euler totient φ(n) | 1860 |
| Square | 7834401 |
| Cube | 21928488399 |
| Square root | 52.905576 (= 3√311) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 66 |
| Scientific notation | 2.799 × |
2799 in other forms
| Form | Value |
|---|---|
| In words | two thousand seven hundred and ninety-nine |
| Roman numerals | MMDCCXCIX |
| Binary (base 2) | 101011101111 |
| Octal (base 8) | 5357 |
| Hexadecimal (base 16) | AEF |
| Base 3 | 10211200 |
| As time | 2799 seconds = 46 min 39 s |
Is 2799 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2799 ÷ 3 = 933) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 | No (remainder 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (2799 ÷ 9 = 311) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2799 a prime number?
No. 2799 = × 311, so it is divisible by 3.
What are the factors of 2799?
1, 3, 9, 311, 933, 2799.
What is 2799 in binary?
101011101111 (hexadecimal AEF, octal 5357).
What is the square root of 2799?
About 52.9056, exactly 3√311.
What is 2799 in Roman numerals?
MMDCCXCIX.
Is 2799 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 2799?
It is a composite number with 6 divisors.