The number 12195
12195 is a composite number with 12 divisors. Its prime factorisation is × 5 × 271. Divisors (12): 1, 3, 5, 9, 15, 45, 271, 813, 1355, 2439, 4065, 12195.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12195 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12195 is composite. Its prime factorisation is
- 3
The divisors add up to 21216; without 12195 itself that is 9021, so 12195 is deficient (9021 is less than 12195). Euler's totient φ(12195) = 6480 numbers up to 12195 share no factor with it.
- 4
The digits of 12195 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 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12195 = 3^{2} \times 5 \times 271 \]12195 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 21216 |
| Euler totient φ(n) | 6480 |
| Square | 148718025 |
| Cube | 1813616314875 |
| Square root | 110.430974 (= 3√1355) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 37 |
| Scientific notation | 1.2195 × |
12195 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand one hundred and ninety-five |
| Binary (base 2) | 10111110100011 |
| Octal (base 8) | 27643 |
| Hexadecimal (base 16) | 2FA3 |
| Base 3 | 121201200 |
| As time | 12195 seconds = 3 h 23 min 15 s |
Is 12195 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 (12195 ÷ 3 = 4065) | 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 (12195 ÷ 5 = 2439) | 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 | Yes (12195 ÷ 9 = 1355) | 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 7) | 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 12195 a prime number?
No. 12195 = × 5 × 271, so it is divisible by 3.
What are the factors of 12195?
1, 3, 5, 9, 15, 45, 271, 813, 1355, 2439, 4065, 12195.
What is 12195 in binary?
10111110100011 (hexadecimal 2FA3, octal 27643).
What is the square root of 12195?
About 110.4310, exactly 3√1355.
Is 12195 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 12195?
It is a composite number with 12 divisors.