The number 27500
27500 is a composite number with 30 divisors. Its prime factorisation is × × 11. Divisors (30): 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 125, 220 … 27500.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27500 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27500 is composite. Its prime factorisation is
- 3
The divisors add up to 65604; without 27500 itself that is 38104, so 27500 is abundant (38104 is more than 27500). Euler's totient φ(27500) = 10000 numbers up to 27500 share no factor with it.
- 4
The digits of 27500 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 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27500 = 2^{2} \times 5^{4} \times 11 \]27500 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 65604 |
| Euler totient φ(n) | 10000 |
| Square | 756250000 |
| Cube | 20796875000000 |
| Square root | 165.831240 (= 50√11) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.75 × |
27500 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand five hundred |
| Binary (base 2) | 110101101101100 |
| Octal (base 8) | 65554 |
| Hexadecimal (base 16) | 6B6C |
| Base 3 | 1101201112 |
| As time | 27500 seconds = 7 h 38 min 20 s |
Is 27500 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27500 ÷ 2 = 13750) | 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 | Yes (27500 ÷ 4 = 6875) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27500 ÷ 5 = 5500) | 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 4) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (27500 ÷ 10 = 2750) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (27500 ÷ 11 = 2500) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27500 a prime number?
No. 27500 = × × 11, so it is divisible by 2.
What are the factors of 27500?
1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 125, 220, 250, 275, 500, 550, 625, 1100, 1250, 1375, 2500, 2750, 5500, 6875, 13750, 27500.
What is 27500 in binary?
110101101101100 (hexadecimal 6B6C, octal 65554).
What is the square root of 27500?
About 165.8312, exactly 50√11.
Is 27500 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 27500?
It is a composite number with 30 divisors.