The number 32985
32985 is a composite number with 12 divisors. Its prime factorisation is × 5 × 733. Divisors (12): 1, 3, 5, 9, 15, 45, 733, 2199, 3665, 6597, 10995, 32985.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32985 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32985 is composite. Its prime factorisation is
- 3
The divisors add up to 57252; without 32985 itself that is 24267, so 32985 is deficient (24267 is less than 32985). Euler's totient φ(32985) = 17568 numbers up to 32985 share no factor with it.
- 4
The digits of 32985 add up to 27, 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
\[ 32985 = 3^{2} \times 5 \times 733 \]32985 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 57252 |
| Euler totient φ(n) | 17568 |
| Square | 1088010225 |
| Cube | 35888017271625 |
| Square root | 181.617730 (= 3√3665) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.2985 × |
32985 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand nine hundred and eighty-five |
| Binary (base 2) | 1000000011011001 |
| Octal (base 8) | 100331 |
| Hexadecimal (base 16) | 80D9 |
| Base 3 | 1200020200 |
| As time | 32985 seconds = 9 h 9 min 45 s |
Is 32985 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 (32985 ÷ 3 = 10995) | 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 (32985 ÷ 5 = 6597) | 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 1) | 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 (32985 ÷ 9 = 3665) | 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 32985 a prime number?
No. 32985 = × 5 × 733, so it is divisible by 3.
What are the factors of 32985?
1, 3, 5, 9, 15, 45, 733, 2199, 3665, 6597, 10995, 32985.
What is 32985 in binary?
1000000011011001 (hexadecimal 80D9, octal 100331).
What is the square root of 32985?
About 181.6177, exactly 3√3665.
Is 32985 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 32985?
It is a composite number with 12 divisors.