The number 27195
27195 is a composite number with 24 divisors. Its prime factorisation is 3 × 5 × × 37. Divisors (24): 1, 3, 5, 7, 15, 21, 35, 37, 49, 105, 111, 147, 185, 245, 259, 555 … 27195.
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How to work it out
- 1
27195 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27195 is composite. Its prime factorisation is
- 3
The divisors add up to 51984; without 27195 itself that is 24789, so 27195 is deficient (24789 is less than 27195). Euler's totient φ(27195) = 12096 numbers up to 27195 share no factor with it.
- 4
The digits of 27195 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27195 = 3 \times 5 \times 7^{2} \times 37 \]27195 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 51984 |
| Euler totient φ(n) | 12096 |
| Square | 739568025 |
| Cube | 20112552439875 |
| Square root | 164.909066 (= 7√555) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 121 |
| Scientific notation | 2.7195 × |
27195 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand one hundred and ninety-five |
| Binary (base 2) | 110101000111011 |
| Octal (base 8) | 65073 |
| Hexadecimal (base 16) | 6A3B |
| Base 3 | 1101022020 |
| As time | 27195 seconds = 7 h 33 min 15 s |
Is 27195 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 (27195 ÷ 3 = 9065) | 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 (27195 ÷ 5 = 5439) | 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 (27195 ÷ 7 = 3885) | 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 6) | 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 3) | 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 27195 a prime number?
No. 27195 = 3 × 5 × × 37, so it is divisible by 3.
What are the factors of 27195?
1, 3, 5, 7, 15, 21, 35, 37, 49, 105, 111, 147, 185, 245, 259, 555, 735, 777, 1295, 1813, 3885, 5439, 9065, 27195.
What is 27195 in binary?
110101000111011 (hexadecimal 6A3B, octal 65073).
What is the square root of 27195?
About 164.9091, exactly 7√555.
Is 27195 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 27195?
It is a composite number with 24 divisors.