The number 27825
27825 is a composite number with 24 divisors. Its prime factorisation is 3 × × 7 × 53. Divisors (24): 1, 3, 5, 7, 15, 21, 25, 35, 53, 75, 105, 159, 175, 265, 371, 525 … 27825.
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How to work it out
- 1
27825 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27825 is composite. Its prime factorisation is
- 3
The divisors add up to 53568; without 27825 itself that is 25743, so 27825 is deficient (25743 is less than 27825). Euler's totient φ(27825) = 12480 numbers up to 27825 share no factor with it.
- 4
The digits of 27825 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27825 = 3 \times 5^{2} \times 7 \times 53 \]27825 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 53568 |
| Euler totient φ(n) | 12480 |
| Square | 774230625 |
| Cube | 21542967140625 |
| Square root | 166.808273 (= 5√1113) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.7825 × |
27825 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand eight hundred and twenty-five |
| Binary (base 2) | 110110010110001 |
| Octal (base 8) | 66261 |
| Hexadecimal (base 16) | 6CB1 |
| Base 3 | 1102011120 |
| As time | 27825 seconds = 7 h 43 min 45 s |
Is 27825 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 (27825 ÷ 3 = 9275) | 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 (27825 ÷ 5 = 5565) | 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 | Yes (27825 ÷ 7 = 3975) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 6) | 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 27825 a prime number?
No. 27825 = 3 × × 7 × 53, so it is divisible by 3.
What are the factors of 27825?
1, 3, 5, 7, 15, 21, 25, 35, 53, 75, 105, 159, 175, 265, 371, 525, 795, 1113, 1325, 1855, 3975, 5565, 9275, 27825.
What is 27825 in binary?
110110010110001 (hexadecimal 6CB1, octal 66261).
What is the square root of 27825?
About 166.8083, exactly 5√1113.
Is 27825 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 27825?
It is a composite number with 24 divisors.