The number 27038
27038 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 1229. Divisors (8): 1, 2, 11, 22, 1229, 2458, 13519, 27038.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27038 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27038 is composite. Its prime factorisation is
- 3
The divisors add up to 44280; without 27038 itself that is 17242, so 27038 is deficient (17242 is less than 27038). Euler's totient φ(27038) = 12280 numbers up to 27038 share no factor with it.
- 4
The digits of 27038 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 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27038 = 2 \times 11 \times 1229 \]
27038 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 44280 |
| Euler totient φ(n) | 12280 |
| Square | 731053444 |
| Cube | 19766223018872 |
| Square root | 164.432357 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.7038 × |
27038 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and thirty-eight |
| Binary (base 2) | 110100110011110 |
| Octal (base 8) | 64636 |
| Hexadecimal (base 16) | 699E |
| Base 3 | 1101002102 |
| As time | 27038 seconds = 7 h 30 min 38 s |
Is 27038 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27038 ÷ 2 = 13519) | 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 | 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 | 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 6) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (27038 ÷ 11 = 2458) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27038 a prime number?
No. 27038 = 2 × 11 × 1229, so it is divisible by 2.
What are the factors of 27038?
1, 2, 11, 22, 1229, 2458, 13519, 27038.
What is 27038 in binary?
110100110011110 (hexadecimal 699E, octal 64636).
What is the square root of 27038?
About 164.4324.
Is 27038 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 27038?
It is a composite number with 8 divisors.