The number 32325
32325 is a composite number with 12 divisors. Its prime factorisation is 3 × × 431. Divisors (12): 1, 3, 5, 15, 25, 75, 431, 1293, 2155, 6465, 10775, 32325.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32325: a Harshad number: divisible by its digit sum 15.
- 2
32325 is composite. Its prime factorisation is
- 3
The divisors add up to 53568; without 32325 itself that is 21243, so 32325 is deficient (21243 is less than 32325). Euler's totient φ(32325) = 17200 numbers up to 32325 share no factor with it.
- 4
The digits of 32325 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32325 = 3 \times 5^{2} \times 431 \]32325 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 53568 |
| Euler totient φ(n) | 17200 |
| Square | 1044905625 |
| Cube | 33776574328125 |
| Square root | 179.791546 (= 5√1293) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.2325 × |
32325 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand three hundred and twenty-five |
| Binary (base 2) | 111111001000101 |
| Octal (base 8) | 77105 |
| Hexadecimal (base 16) | 7E45 |
| Base 3 | 1122100020 |
| As time | 32325 seconds = 8 h 58 min 45 s |
Is 32325 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 (32325 ÷ 3 = 10775) | 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 (32325 ÷ 5 = 6465) | 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 6) | 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 5) | 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 7) | 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 32325 a prime number?
No. 32325 = 3 × × 431, so it is divisible by 3.
What are the factors of 32325?
1, 3, 5, 15, 25, 75, 431, 1293, 2155, 6465, 10775, 32325.
What is 32325 in binary?
111111001000101 (hexadecimal 7E45, octal 77105).
What is the square root of 32325?
About 179.7915, exactly 5√1293.
Is 32325 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 32325?
32325 is a Harshad number: divisible by its digit sum 15.