The number 27008
27008 is a composite number with 16 divisors. Its prime factorisation is × 211. Divisors (16): 1, 2, 4, 8, 16, 32, 64, 128, 211, 422, 844, 1688, 3376, 6752, 13504, 27008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27008 is composite. Its prime factorisation is
- 3
The divisors add up to 54060; without 27008 itself that is 27052, so 27008 is abundant (27052 is more than 27008). Euler's totient φ(27008) = 13440 numbers up to 27008 share no factor with it.
- 4
The digits of 27008 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27008 = 2^{7} \times 211 \]27008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 54060 |
| Euler totient φ(n) | 13440 |
| Square | 729432064 |
| Cube | 19700501184512 |
| Square root | 164.341109 (= 8√422) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.7008 × |
27008 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and eight |
| Binary (base 2) | 110100110000000 |
| Octal (base 8) | 64600 |
| Hexadecimal (base 16) | 6980 |
| Base 3 | 1101001022 |
| As time | 27008 seconds = 7 h 30 min 8 s |
Is 27008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27008 ÷ 2 = 13504) | 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 (27008 ÷ 4 = 6752) | 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 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 (27008 ÷ 8 = 3376) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 3) | 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 27008 a prime number?
No. 27008 = × 211, so it is divisible by 2.
What are the factors of 27008?
1, 2, 4, 8, 16, 32, 64, 128, 211, 422, 844, 1688, 3376, 6752, 13504, 27008.
What is 27008 in binary?
110100110000000 (hexadecimal 6980, octal 64600).
What is the square root of 27008?
About 164.3411, exactly 8√422.
Is 27008 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 27008?
It is a composite number with 16 divisors.