The number 27908
27908 is a composite number with 6 divisors. Its prime factorisation is × 6977. Divisors (6): 1, 2, 4, 6977, 13954, 27908.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27908 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27908 is composite. Its prime factorisation is
- 3
The divisors add up to 48846; without 27908 itself that is 20938, so 27908 is deficient (20938 is less than 27908). Euler's totient φ(27908) = 13952 numbers up to 27908 share no factor with it.
- 4
The digits of 27908 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27908 = 2^{2} \times 6977 \]27908 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 48846 |
| Euler totient φ(n) | 13952 |
| Square | 778856464 |
| Cube | 21736326197312 |
| Square root | 167.056877 (= 2√6977) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 33 |
| Scientific notation | 2.7908 × |
27908 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand nine hundred and eight |
| Binary (base 2) | 110110100000100 |
| Octal (base 8) | 66404 |
| Hexadecimal (base 16) | 6D04 |
| Base 3 | 1102021122 |
| As time | 27908 seconds = 7 h 45 min 8 s |
Is 27908 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27908 ÷ 2 = 13954) | 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 (27908 ÷ 4 = 6977) | 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 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 4) | 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 1) | 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 27908 a prime number?
No. 27908 = × 6977, so it is divisible by 2.
What are the factors of 27908?
1, 2, 4, 6977, 13954, 27908.
What is 27908 in binary?
110110100000100 (hexadecimal 6D04, octal 66404).
What is the square root of 27908?
About 167.0569, exactly 2√6977.
Is 27908 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 27908?
It is a composite number with 6 divisors.