The number 32025
32025 is a composite number with 24 divisors. Its prime factorisation is 3 × × 7 × 61. Divisors (24): 1, 3, 5, 7, 15, 21, 25, 35, 61, 75, 105, 175, 183, 305, 427, 525 … 32025.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32025 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32025 is composite. Its prime factorisation is
- 3
The divisors add up to 61504; without 32025 itself that is 29479, so 32025 is deficient (29479 is less than 32025). Euler's totient φ(32025) = 14400 numbers up to 32025 share no factor with it.
- 4
The digits of 32025 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32025 = 3 \times 5^{2} \times 7 \times 61 \]32025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 61504 |
| Euler totient φ(n) | 14400 |
| Square | 1025600625 |
| Cube | 32844860015625 |
| Square root | 178.955302 (= 5√1281) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.2025 × |
32025 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand and twenty-five |
| Binary (base 2) | 111110100011001 |
| Octal (base 8) | 76431 |
| Hexadecimal (base 16) | 7D19 |
| Base 3 | 1121221010 |
| As time | 32025 seconds = 8 h 53 min 45 s |
Is 32025 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 (32025 ÷ 3 = 10675) | 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 (32025 ÷ 5 = 6405) | 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 | Yes (32025 ÷ 7 = 4575) | 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 3) | 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 4) | 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 32025 a prime number?
No. 32025 = 3 × × 7 × 61, so it is divisible by 3.
What are the factors of 32025?
1, 3, 5, 7, 15, 21, 25, 35, 61, 75, 105, 175, 183, 305, 427, 525, 915, 1281, 1525, 2135, 4575, 6405, 10675, 32025.
What is 32025 in binary?
111110100011001 (hexadecimal 7D19, octal 76431).
What is the square root of 32025?
About 178.9553, exactly 5√1281.
Is 32025 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 32025?
It is a composite number with 24 divisors.