The number 32625
32625 is a composite number with 24 divisors. Its prime factorisation is × × 29. Divisors (24): 1, 3, 5, 9, 15, 25, 29, 45, 75, 87, 125, 145, 225, 261, 375, 435 … 32625.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32625 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32625 is composite. Its prime factorisation is
- 3
The divisors add up to 60840; without 32625 itself that is 28215, so 32625 is deficient (28215 is less than 32625). Euler's totient φ(32625) = 16800 numbers up to 32625 share no factor with it.
- 4
The digits of 32625 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32625 = 3^{2} \times 5^{3} \times 29 \]32625 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 60840 |
| Euler totient φ(n) | 16800 |
| Square | 1064390625 |
| Cube | 34725744140625 |
| Square root | 180.623919 (= 15√145) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.2625 × |
32625 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand six hundred and twenty-five |
| Binary (base 2) | 111111101110001 |
| Octal (base 8) | 77561 |
| Hexadecimal (base 16) | 7F71 |
| Base 3 | 1122202100 |
| As time | 32625 seconds = 9 h 3 min 45 s |
Is 32625 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 (32625 ÷ 3 = 10875) | 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 (32625 ÷ 5 = 6525) | 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 5) | 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 | Yes (32625 ÷ 9 = 3625) | 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 10) | 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 32625 a prime number?
No. 32625 = × × 29, so it is divisible by 3.
What are the factors of 32625?
1, 3, 5, 9, 15, 25, 29, 45, 75, 87, 125, 145, 225, 261, 375, 435, 725, 1125, 1305, 2175, 3625, 6525, 10875, 32625.
What is 32625 in binary?
111111101110001 (hexadecimal 7F71, octal 77561).
What is the square root of 32625?
About 180.6239, exactly 15√145.
Is 32625 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 32625?
It is a composite number with 24 divisors.