The number 27063
27063 is a composite number with 12 divisors. Its prime factorisation is × 31 × 97. Divisors (12): 1, 3, 9, 31, 93, 97, 279, 291, 873, 3007, 9021, 27063.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27063 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27063 is composite. Its prime factorisation is
- 3
The divisors add up to 40768; without 27063 itself that is 13705, so 27063 is deficient (13705 is less than 27063). Euler's totient φ(27063) = 17280 numbers up to 27063 share no factor with it.
- 4
The digits of 27063 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 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27063 = 3^{2} \times 31 \times 97 \]27063 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 40768 |
| Euler totient φ(n) | 17280 |
| Square | 732405969 |
| Cube | 19821102739047 |
| Square root | 164.508358 (= 3√3007) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.7063 × |
27063 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and sixty-three |
| Binary (base 2) | 110100110110111 |
| Octal (base 8) | 64667 |
| Hexadecimal (base 16) | 69B7 |
| Base 3 | 1101010100 |
| As time | 27063 seconds = 7 h 31 min 3 s |
Is 27063 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 (27063 ÷ 3 = 9021) | 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 | No (remainder 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (27063 ÷ 9 = 3007) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 27063 a prime number?
No. 27063 = × 31 × 97, so it is divisible by 3.
What are the factors of 27063?
1, 3, 9, 31, 93, 97, 279, 291, 873, 3007, 9021, 27063.
What is 27063 in binary?
110100110110111 (hexadecimal 69B7, octal 64667).
What is the square root of 27063?
About 164.5084, exactly 3√3007.
Is 27063 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 27063?
It is a composite number with 12 divisors.