The number 32195
32195 is a composite number with 8 divisors. Its prime factorisation is 5 × 47 × 137. Divisors (8): 1, 5, 47, 137, 235, 685, 6439, 32195.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32195 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32195 is composite. Its prime factorisation is
- 3
The divisors add up to 39744; without 32195 itself that is 7549, so 32195 is deficient (7549 is less than 32195). Euler's totient φ(32195) = 25024 numbers up to 32195 share no factor with it.
- 4
The digits of 32195 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32195 = 5 \times 47 \times 137 \]
32195 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 39744 |
| Euler totient φ(n) | 25024 |
| Square | 1036518025 |
| Cube | 33370697814875 |
| Square root | 179.429652 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 46 |
| Scientific notation | 3.2195 × |
32195 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand one hundred and ninety-five |
| Binary (base 2) | 111110111000011 |
| Octal (base 8) | 76703 |
| Hexadecimal (base 16) | 7DC3 |
| Base 3 | 1122011102 |
| As time | 32195 seconds = 8 h 56 min 35 s |
Is 32195 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 2) | 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 (32195 ÷ 5 = 6439) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32195 a prime number?
No. 32195 = 5 × 47 × 137, so it is divisible by 5.
What are the factors of 32195?
1, 5, 47, 137, 235, 685, 6439, 32195.
What is 32195 in binary?
111110111000011 (hexadecimal 7DC3, octal 76703).
What is the square root of 32195?
About 179.4297.
Is 32195 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 32195?
It is a composite number with 8 divisors.