The number 32825
32825 is a composite number with 12 divisors. Its prime factorisation is × 13 × 101. Divisors (12): 1, 5, 13, 25, 65, 101, 325, 505, 1313, 2525, 6565, 32825.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32825 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32825 is composite. Its prime factorisation is
- 3
The divisors add up to 44268; without 32825 itself that is 11443, so 32825 is deficient (11443 is less than 32825). Euler's totient φ(32825) = 24000 numbers up to 32825 share no factor with it.
- 4
The digits of 32825 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32825 = 5^{2} \times 13 \times 101 \]32825 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 44268 |
| Euler totient φ(n) | 24000 |
| Square | 1077480625 |
| Cube | 35368301515625 |
| Square root | 181.176709 (= 5√1313) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.2825 × |
32825 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand eight hundred and twenty-five |
| Binary (base 2) | 1000000000111001 |
| Octal (base 8) | 100071 |
| Hexadecimal (base 16) | 8039 |
| Base 3 | 1200000202 |
| As time | 32825 seconds = 9 h 7 min 5 s |
Is 32825 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 2) | 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 (32825 ÷ 5 = 6565) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32825 a prime number?
No. 32825 = × 13 × 101, so it is divisible by 5.
What are the factors of 32825?
1, 5, 13, 25, 65, 101, 325, 505, 1313, 2525, 6565, 32825.
What is 32825 in binary?
1000000000111001 (hexadecimal 8039, octal 100071).
What is the square root of 32825?
About 181.1767, exactly 5√1313.
Is 32825 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 32825?
It is a composite number with 12 divisors.