The number 27525
27525 is a composite number with 12 divisors. Its prime factorisation is 3 × × 367. Divisors (12): 1, 3, 5, 15, 25, 75, 367, 1101, 1835, 5505, 9175, 27525.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27525 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27525 is composite. Its prime factorisation is
- 3
The divisors add up to 45632; without 27525 itself that is 18107, so 27525 is deficient (18107 is less than 27525). Euler's totient φ(27525) = 14640 numbers up to 27525 share no factor with it.
- 4
The digits of 27525 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 121 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27525 = 3 \times 5^{2} \times 367 \]27525 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 45632 |
| Euler totient φ(n) | 14640 |
| Square | 757625625 |
| Cube | 20853645328125 |
| Square root | 165.906600 (= 5√1101) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 121 |
| Scientific notation | 2.7525 × |
27525 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand five hundred and twenty-five |
| Binary (base 2) | 110101110000101 |
| Octal (base 8) | 65605 |
| Hexadecimal (base 16) | 6B85 |
| Base 3 | 1101202110 |
| As time | 27525 seconds = 7 h 38 min 45 s |
Is 27525 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 (27525 ÷ 3 = 9175) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27525 ÷ 5 = 5505) | 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 1) | 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 5) | 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 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27525 a prime number?
No. 27525 = 3 × × 367, so it is divisible by 3.
What are the factors of 27525?
1, 3, 5, 15, 25, 75, 367, 1101, 1835, 5505, 9175, 27525.
What is 27525 in binary?
110101110000101 (hexadecimal 6B85, octal 65605).
What is the square root of 27525?
About 165.9066, exactly 5√1101.
Is 27525 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 27525?
It is a composite number with 12 divisors.