The number 12825
12825 is a composite number with 24 divisors. Its prime factorisation is × × 19. Divisors (24): 1, 3, 5, 9, 15, 19, 25, 27, 45, 57, 75, 95, 135, 171, 225, 285 … 12825.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12825 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12825 is composite. Its prime factorisation is
- 3
The divisors add up to 24800; without 12825 itself that is 11975, so 12825 is deficient (11975 is less than 12825). Euler's totient φ(12825) = 6480 numbers up to 12825 share no factor with it.
- 4
The digits of 12825 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12825 = 3^{3} \times 5^{2} \times 19 \]12825 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 24800 |
| Euler totient φ(n) | 6480 |
| Square | 164480625 |
| Cube | 2109464015625 |
| Square root | 113.247517 (= 15√57) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 50 |
| Scientific notation | 1.2825 × |
12825 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand eight hundred and twenty-five |
| Binary (base 2) | 11001000011001 |
| Octal (base 8) | 31031 |
| Hexadecimal (base 16) | 3219 |
| Base 3 | 122121000 |
| As time | 12825 seconds = 3 h 33 min 45 s |
Is 12825 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 (12825 ÷ 3 = 4275) | 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 (12825 ÷ 5 = 2565) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (12825 ÷ 9 = 1425) | 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 10) | 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 12825 a prime number?
No. 12825 = × × 19, so it is divisible by 3.
What are the factors of 12825?
1, 3, 5, 9, 15, 19, 25, 27, 45, 57, 75, 95, 135, 171, 225, 285, 475, 513, 675, 855, 1425, 2565, 4275, 12825.
What is 12825 in binary?
11001000011001 (hexadecimal 3219, octal 31031).
What is the square root of 12825?
About 113.2475, exactly 15√57.
Is 12825 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 12825?
It is a composite number with 24 divisors.