The number 33085
33085 is a composite number with 8 divisors. Its prime factorisation is 5 × 13 × 509. Divisors (8): 1, 5, 13, 65, 509, 2545, 6617, 33085.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33085 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33085 is composite. Its prime factorisation is
- 3
The divisors add up to 42840; without 33085 itself that is 9755, so 33085 is deficient (9755 is less than 33085). Euler's totient φ(33085) = 24384 numbers up to 33085 share no factor with it.
- 4
The digits of 33085 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33085 = 5 \times 13 \times 509 \]
33085 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 42840 |
| Euler totient φ(n) | 24384 |
| Square | 1094617225 |
| Cube | 36215410889125 |
| Square root | 181.892826 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.3085 × |
33085 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and eighty-five |
| Binary (base 2) | 1000000100111101 |
| Octal (base 8) | 100475 |
| Hexadecimal (base 16) | 813D |
| Base 3 | 1200101101 |
| As time | 33085 seconds = 9 h 11 min 25 s |
Is 33085 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 | No (remainder 1) | 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 (33085 ÷ 5 = 6617) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 1) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33085 a prime number?
No. 33085 = 5 × 13 × 509, so it is divisible by 5.
What are the factors of 33085?
1, 5, 13, 65, 509, 2545, 6617, 33085.
What is 33085 in binary?
1000000100111101 (hexadecimal 813D, octal 100475).
What is the square root of 33085?
About 181.8928.
Is 33085 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 33085?
It is a composite number with 8 divisors.