The number 2763
2763 is a composite number with 6 divisors. Its prime factorisation is × 307. Divisors (6): 1, 3, 9, 307, 921, 2763.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2763 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2763 is composite. Its prime factorisation is
- 3
The divisors add up to 4004; without 2763 itself that is 1241, so 2763 is deficient (1241 is less than 2763). Euler's totient φ(2763) = 1836 numbers up to 2763 share no factor with it.
- 4
The digits of 2763 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2763 = 3^{2} \times 307 \]2763 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 4004 |
| Euler totient φ(n) | 1836 |
| Square | 7634169 |
| Cube | 21093208947 |
| Square root | 52.564246 (= 3√307) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 40 |
| Scientific notation | 2.763 × |
2763 in other forms
| Form | Value |
|---|---|
| In words | two thousand seven hundred and sixty-three |
| Roman numerals | MMDCCLXIII |
| Binary (base 2) | 101011001011 |
| Octal (base 8) | 5313 |
| Hexadecimal (base 16) | ACB |
| Base 3 | 10210100 |
| As time | 2763 seconds = 46 min 3 s |
Is 2763 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 (2763 ÷ 3 = 921) | 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 3) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (2763 ÷ 9 = 307) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2763 a prime number?
No. 2763 = × 307, so it is divisible by 3.
What are the factors of 2763?
1, 3, 9, 307, 921, 2763.
What is 2763 in binary?
101011001011 (hexadecimal ACB, octal 5313).
What is the square root of 2763?
About 52.5642, exactly 3√307.
What is 2763 in Roman numerals?
MMDCCLXIII.
Is 2763 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 2763?
It is a composite number with 6 divisors.