The number 33195
33195 is a composite number with 8 divisors. Its prime factorisation is 3 × 5 × 2213. Divisors (8): 1, 3, 5, 15, 2213, 6639, 11065, 33195.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33195 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33195 is composite. Its prime factorisation is
- 3
The divisors add up to 53136; without 33195 itself that is 19941, so 33195 is deficient (19941 is less than 33195). Euler's totient φ(33195) = 17696 numbers up to 33195 share no factor with it.
- 4
The digits of 33195 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 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33195 = 3 \times 5 \times 2213 \]
33195 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 53136 |
| Euler totient φ(n) | 17696 |
| Square | 1101908025 |
| Cube | 36577836889875 |
| Square root | 182.194951 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.3195 × |
33195 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand one hundred and ninety-five |
| Binary (base 2) | 1000000110101011 |
| Octal (base 8) | 100653 |
| Hexadecimal (base 16) | 81AB |
| Base 3 | 1200112110 |
| As time | 33195 seconds = 9 h 13 min 15 s |
Is 33195 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 (33195 ÷ 3 = 11065) | 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 (33195 ÷ 5 = 6639) | 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 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 | No (remainder 8) | 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 33195 a prime number?
No. 33195 = 3 × 5 × 2213, so it is divisible by 3.
What are the factors of 33195?
1, 3, 5, 15, 2213, 6639, 11065, 33195.
What is 33195 in binary?
1000000110101011 (hexadecimal 81AB, octal 100653).
What is the square root of 33195?
About 182.1950.
Is 33195 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 33195?
It is a composite number with 8 divisors.