The number 3195
3195 is a composite number with 12 divisors. Its prime factorisation is × 5 × 71. Divisors (12): 1, 3, 5, 9, 15, 45, 71, 213, 355, 639, 1065, 3195.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3195 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3195 is composite. Its prime factorisation is
- 3
The divisors add up to 5616; without 3195 itself that is 2421, so 3195 is deficient (2421 is less than 3195). Euler's totient φ(3195) = 1680 numbers up to 3195 share no factor with it.
- 4
The digits of 3195 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 74 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3195 = 3^{2} \times 5 \times 71 \]3195 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 5616 |
| Euler totient φ(n) | 1680 |
| Square | 10208025 |
| Cube | 32614639875 |
| Square root | 56.524331 (= 3√355) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 74 |
| Scientific notation | 3.195 × |
3195 in other forms
| Form | Value |
|---|---|
| In words | three thousand one hundred and ninety-five |
| Roman numerals | MMMCXCV |
| Binary (base 2) | 110001111011 |
| Octal (base 8) | 6173 |
| Hexadecimal (base 16) | C7B |
| Base 3 | 11101100 |
| As time | 3195 seconds = 53 min 15 s |
Is 3195 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 (3195 ÷ 3 = 1065) | 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 (3195 ÷ 5 = 639) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (3195 ÷ 9 = 355) | 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 5) | 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 3195 a prime number?
No. 3195 = × 5 × 71, so it is divisible by 3.
What are the factors of 3195?
1, 3, 5, 9, 15, 45, 71, 213, 355, 639, 1065, 3195.
What is 3195 in binary?
110001111011 (hexadecimal C7B, octal 6173).
What is the square root of 3195?
About 56.5243, exactly 3√355.
What is 3195 in Roman numerals?
MMMCXCV.
Is 3195 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 3195?
It is a composite number with 12 divisors.