The number 32835
32835 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 11 × 199. Divisors (16): 1, 3, 5, 11, 15, 33, 55, 165, 199, 597, 995, 2189, 2985, 6567, 10945, 32835.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32835 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32835 is composite. Its prime factorisation is
- 3
The divisors add up to 57600; without 32835 itself that is 24765, so 32835 is deficient (24765 is less than 32835). Euler's totient φ(32835) = 15840 numbers up to 32835 share no factor with it.
- 4
The digits of 32835 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32835 = 3 \times 5 \times 11 \times 199 \]
32835 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 57600 |
| Euler totient φ(n) | 15840 |
| Square | 1078137225 |
| Cube | 35400635782875 |
| Square root | 181.204305 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.2835 × |
32835 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand eight hundred and thirty-five |
| Binary (base 2) | 1000000001000011 |
| Octal (base 8) | 100103 |
| Hexadecimal (base 16) | 8043 |
| Base 3 | 1200001010 |
| As time | 32835 seconds = 9 h 7 min 15 s |
Is 32835 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 (32835 ÷ 3 = 10945) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (32835 ÷ 5 = 6567) | 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 3) | 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 | Yes (32835 ÷ 11 = 2985) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32835 a prime number?
No. 32835 = 3 × 5 × 11 × 199, so it is divisible by 3.
What are the factors of 32835?
1, 3, 5, 11, 15, 33, 55, 165, 199, 597, 995, 2189, 2985, 6567, 10945, 32835.
What is 32835 in binary?
1000000001000011 (hexadecimal 8043, octal 100103).
What is the square root of 32835?
About 181.2043.
Is 32835 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 32835?
It is a composite number with 16 divisors.