The number 2750
2750 is a composite number with 16 divisors. Its prime factorisation is 2 × × 11. Divisors (16): 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 1375, 2750.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2750 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2750 is composite. Its prime factorisation is
- 3
The divisors add up to 5616; without 2750 itself that is 2866, so 2750 is abundant (2866 is more than 2750). Euler's totient φ(2750) = 1000 numbers up to 2750 share no factor with it.
- 4
The digits of 2750 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2750 = 2 \times 5^{3} \times 11 \]2750 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 5616 |
| Euler totient φ(n) | 1000 |
| Square | 7562500 |
| Cube | 20796875000 |
| Square root | 52.440442 (= 5√110) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 40 |
| Scientific notation | 2.75 × |
2750 in other forms
| Form | Value |
|---|---|
| In words | two thousand seven hundred and fifty |
| Roman numerals | MMDCCL |
| Binary (base 2) | 101010111110 |
| Octal (base 8) | 5276 |
| Hexadecimal (base 16) | ABE |
| Base 3 | 10202212 |
| As time | 2750 seconds = 45 min 50 s |
Is 2750 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2750 ÷ 2 = 1375) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 | Yes (2750 ÷ 5 = 550) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (2750 ÷ 10 = 275) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (2750 ÷ 11 = 250) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2750 a prime number?
No. 2750 = 2 × × 11, so it is divisible by 2.
What are the factors of 2750?
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 1375, 2750.
What is 2750 in binary?
101010111110 (hexadecimal ABE, octal 5276).
What is the square root of 2750?
About 52.4404, exactly 5√110.
What is 2750 in Roman numerals?
MMDCCL.
Is 2750 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 2750?
It is a composite number with 16 divisors.