The number 9825
9825 is a composite number with 12 divisors. Its prime factorisation is 3 × × 131. Divisors (12): 1, 3, 5, 15, 25, 75, 131, 393, 655, 1965, 3275, 9825.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9825 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9825 is composite. Its prime factorisation is
- 3
The divisors add up to 16368; without 9825 itself that is 6543, so 9825 is deficient (6543 is less than 9825). Euler's totient φ(9825) = 5200 numbers up to 9825 share no factor with it.
- 4
The digits of 9825 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 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9825 = 3 \times 5^{2} \times 131 \]9825 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 16368 |
| Euler totient φ(n) | 5200 |
| Square | 96530625 |
| Cube | 948413390625 |
| Square root | 99.121138 (= 5√393) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 47 |
| Scientific notation | 9.825 × |
9825 in other forms
| Form | Value |
|---|---|
| In words | nine thousand eight hundred and twenty-five |
| Binary (base 2) | 10011001100001 |
| Octal (base 8) | 23141 |
| Hexadecimal (base 16) | 2661 |
| Base 3 | 111110220 |
| As time | 9825 seconds = 2 h 43 min 45 s |
Is 9825 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 (9825 ÷ 3 = 3275) | 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 (9825 ÷ 5 = 1965) | 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 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 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 2) | 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 9825 a prime number?
No. 9825 = 3 × × 131, so it is divisible by 3.
What are the factors of 9825?
1, 3, 5, 15, 25, 75, 131, 393, 655, 1965, 3275, 9825.
What is 9825 in binary?
10011001100001 (hexadecimal 2661, octal 23141).
What is the square root of 9825?
About 99.1211, exactly 5√393.
Is 9825 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 9825?
It is a composite number with 12 divisors.