The number 27750
27750 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × × 37. Divisors (32): 1, 2, 3, 5, 6, 10, 15, 25, 30, 37, 50, 74, 75, 111, 125, 150 … 27750.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27750 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27750 is composite. Its prime factorisation is
- 3
The divisors add up to 71136; without 27750 itself that is 43386, so 27750 is abundant (43386 is more than 27750). Euler's totient φ(27750) = 7200 numbers up to 27750 share no factor with it.
- 4
The digits of 27750 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 183 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27750 = 2 \times 3 \times 5^{3} \times 37 \]27750 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 71136 |
| Euler totient φ(n) | 7200 |
| Square | 770062500 |
| Cube | 21369234375000 |
| Square root | 166.583312 (= 5√1110) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 183 |
| Scientific notation | 2.775 × |
27750 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand seven hundred and fifty |
| Binary (base 2) | 110110001100110 |
| Octal (base 8) | 66146 |
| Hexadecimal (base 16) | 6C66 |
| Base 3 | 1102001210 |
| As time | 27750 seconds = 7 h 42 min 30 s |
Is 27750 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27750 ÷ 2 = 13875) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27750 ÷ 3 = 9250) | 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 (27750 ÷ 5 = 5550) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (27750 ÷ 6 = 4625) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (27750 ÷ 10 = 2775) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27750 a prime number?
No. 27750 = 2 × 3 × × 37, so it is divisible by 2.
What are the factors of 27750?
1, 2, 3, 5, 6, 10, 15, 25, 30, 37, 50, 74, 75, 111, 125, 150, 185, 222, 250, 370, 375, 555, 750, 925, 1110, 1850, 2775, 4625, 5550, 9250, 13875, 27750.
What is 27750 in binary?
110110001100110 (hexadecimal 6C66, octal 66146).
What is the square root of 27750?
About 166.5833, exactly 5√1110.
Is 27750 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 27750?
It is a composite number with 32 divisors.