The number 27138
27138 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 4523. Divisors (8): 1, 2, 3, 6, 4523, 9046, 13569, 27138.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27138 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27138 is composite. Its prime factorisation is
- 3
The divisors add up to 54288; without 27138 itself that is 27150, so 27138 is abundant (27150 is more than 27138). Euler's totient φ(27138) = 9044 numbers up to 27138 share no factor with it.
- 4
The digits of 27138 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27138 = 2 \times 3 \times 4523 \]
27138 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 54288 |
| Euler totient φ(n) | 9044 |
| Square | 736471044 |
| Cube | 19986351192072 |
| Square root | 164.736153 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.7138 × |
27138 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand one hundred and thirty-eight |
| Binary (base 2) | 110101000000010 |
| Octal (base 8) | 65002 |
| Hexadecimal (base 16) | 6A02 |
| Base 3 | 1101020010 |
| As time | 27138 seconds = 7 h 32 min 18 s |
Is 27138 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27138 ÷ 2 = 13569) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27138 ÷ 3 = 9046) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (27138 ÷ 6 = 4523) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27138 a prime number?
No. 27138 = 2 × 3 × 4523, so it is divisible by 2.
What are the factors of 27138?
1, 2, 3, 6, 4523, 9046, 13569, 27138.
What is 27138 in binary?
110101000000010 (hexadecimal 6A02, octal 65002).
What is the square root of 27138?
About 164.7362.
Is 27138 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 27138?
It is a composite number with 8 divisors.