The number 27064
27064 is a composite number with 16 divisors. Its prime factorisation is × 17 × 199. Divisors (16): 1, 2, 4, 8, 17, 34, 68, 136, 199, 398, 796, 1592, 3383, 6766, 13532, 27064.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27064 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27064 is composite. Its prime factorisation is
- 3
The divisors add up to 54000; without 27064 itself that is 26936, so 27064 is deficient (26936 is less than 27064). Euler's totient φ(27064) = 12672 numbers up to 27064 share no factor with it.
- 4
The digits of 27064 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27064 = 2^{3} \times 17 \times 199 \]27064 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 54000 |
| Euler totient φ(n) | 12672 |
| Square | 732460096 |
| Cube | 19823300038144 |
| Square root | 164.511398 (= 2√6766) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.7064 × |
27064 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and sixty-four |
| Binary (base 2) | 110100110111000 |
| Octal (base 8) | 64670 |
| Hexadecimal (base 16) | 69B8 |
| Base 3 | 1101010101 |
| As time | 27064 seconds = 7 h 31 min 4 s |
Is 27064 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27064 ÷ 2 = 13532) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27064 ÷ 4 = 6766) | 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 4) | 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 | Yes (27064 ÷ 8 = 3383) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27064 a prime number?
No. 27064 = × 17 × 199, so it is divisible by 2.
What are the factors of 27064?
1, 2, 4, 8, 17, 34, 68, 136, 199, 398, 796, 1592, 3383, 6766, 13532, 27064.
What is 27064 in binary?
110100110111000 (hexadecimal 69B8, octal 64670).
What is the square root of 27064?
About 164.5114, exactly 2√6766.
Is 27064 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 27064?
It is a composite number with 16 divisors.