The number 33075
33075 is a composite number with 36 divisors. Its prime factorisation is × × . Divisors (36): 1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 49, 63, 75, 105, 135 … 33075.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33075 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33075 is composite. Its prime factorisation is
- 3
The divisors add up to 70680; without 33075 itself that is 37605, so 33075 is abundant (37605 is more than 33075). Euler's totient φ(33075) = 15120 numbers up to 33075 share no factor with it.
- 4
The digits of 33075 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 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33075 = 3^{3} \times 5^{2} \times 7^{2} \]33075 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 70680 |
| Euler totient φ(n) | 15120 |
| Square | 1093955625 |
| Cube | 36182582296875 |
| Square root | 181.865335 (= 105√3) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.3075 × |
33075 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and seventy-five |
| Binary (base 2) | 1000000100110011 |
| Octal (base 8) | 100463 |
| Hexadecimal (base 16) | 8133 |
| Base 3 | 1200101000 |
| As time | 33075 seconds = 9 h 11 min 15 s |
Is 33075 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 (33075 ÷ 3 = 11025) | 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 (33075 ÷ 5 = 6615) | 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 (33075 ÷ 7 = 4725) | 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 | Yes (33075 ÷ 9 = 3675) | 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 9) | 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 33075 a prime number?
No. 33075 = × × , so it is divisible by 3.
What are the factors of 33075?
1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 49, 63, 75, 105, 135, 147, 175, 189, 225, 245, 315, 441, 525, 675, 735, 945, 1225, 1323, 1575, 2205, 3675, 4725, 6615, 11025, 33075.
What is 33075 in binary?
1000000100110011 (hexadecimal 8133, octal 100463).
What is the square root of 33075?
About 181.8653, exactly 105√3.
Is 33075 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 33075?
It is a composite number with 36 divisors.