The number 10825
10825 is a composite number with 6 divisors. Its prime factorisation is Ć 433. Divisors (6): 1, 5, 25, 433, 2165, 10825.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10825: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
10825 is composite. Its prime factorisation is
- 3
The divisors add up to 13454; without 10825 itself that is 2629, so 10825 is deficient (2629 is less than 10825). Euler's totient Ļ(10825) = 8640 numbers up to 10825 share no factor with it.
- 4
The digits of 10825 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10825 = 5^{2} \times 433 \]10825 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 13454 |
| Euler totient Ļ(n) | 8640 |
| Square | 117180625 |
| Cube | 1268480265625 |
| Square root | 104.043260 (= 5ā433) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 68 |
| Scientific notation | 1.0825 Ć |
10825 in other forms
| Form | Value |
|---|---|
| In words | ten thousand eight hundred and twenty-five |
| Binary (base 2) | 10101001001001 |
| Octal (base 8) | 25111 |
| Hexadecimal (base 16) | 2A49 |
| Base 3 | 112211221 |
| As time | 10825 seconds = 3 h 0 min 25 s |
Is 10825 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 | No (remainder 1) | 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 (10825 Ć· 5 = 2165) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 7) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10825 a prime number?
No. 10825 = Ć 433, so it is divisible by 5.
What are the factors of 10825?
1, 5, 25, 433, 2165, 10825.
What is 10825 in binary?
10101001001001 (hexadecimal 2A49, octal 25111).
What is the square root of 10825?
About 104.0433, exactly 5ā433.
Is 10825 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 10825?
10825 is a happy number: repeatedly adding the squares of its digits reaches 1.