The number 27164
27164 is a composite number with 6 divisors. Its prime factorisation is × 6791. Divisors (6): 1, 2, 4, 6791, 13582, 27164.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27164 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27164 is composite. Its prime factorisation is
- 3
The divisors add up to 47544; without 27164 itself that is 20380, so 27164 is deficient (20380 is less than 27164). Euler's totient φ(27164) = 13580 numbers up to 27164 share no factor with it.
- 4
The digits of 27164 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 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27164 = 2^{2} \times 6791 \]27164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 47544 |
| Euler totient φ(n) | 13580 |
| Square | 737882896 |
| Cube | 20043850986944 |
| Square root | 164.815048 (= 2√6791) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.7164 × |
27164 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand one hundred and sixty-four |
| Binary (base 2) | 110101000011100 |
| Octal (base 8) | 65034 |
| Hexadecimal (base 16) | 6A1C |
| Base 3 | 1101021002 |
| As time | 27164 seconds = 7 h 32 min 44 s |
Is 27164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27164 ÷ 2 = 13582) | 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 | Yes (27164 ÷ 4 = 6791) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | 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 4) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27164 a prime number?
No. 27164 = × 6791, so it is divisible by 2.
What are the factors of 27164?
1, 2, 4, 6791, 13582, 27164.
What is 27164 in binary?
110101000011100 (hexadecimal 6A1C, octal 65034).
What is the square root of 27164?
About 164.8150, exactly 2√6791.
Is 27164 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 27164?
It is a composite number with 6 divisors.