The number 27904
27904 is a composite number with 18 divisors. Its prime factorisation is × 109. Divisors (18): 1, 2, 4, 8, 16, 32, 64, 109, 128, 218, 256, 436, 872, 1744, 3488, 6976 … 27904.
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How to work it out
- 1
27904 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27904 is composite. Its prime factorisation is
- 3
The divisors add up to 56210; without 27904 itself that is 28306, so 27904 is abundant (28306 is more than 27904). Euler's totient φ(27904) = 13824 numbers up to 27904 share no factor with it.
- 4
The digits of 27904 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27904 = 2^{8} \times 109 \]27904 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 56210 |
| Euler totient φ(n) | 13824 |
| Square | 778633216 |
| Cube | 21726981259264 |
| Square root | 167.044904 (= 16√109) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 121 |
| Scientific notation | 2.7904 × |
27904 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand nine hundred and four |
| Binary (base 2) | 110110100000000 |
| Octal (base 8) | 66400 |
| Hexadecimal (base 16) | 6D00 |
| Base 3 | 1102021111 |
| As time | 27904 seconds = 7 h 45 min 4 s |
Is 27904 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27904 ÷ 2 = 13952) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27904 ÷ 4 = 6976) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 (27904 ÷ 8 = 3488) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27904 a prime number?
No. 27904 = × 109, so it is divisible by 2.
What are the factors of 27904?
1, 2, 4, 8, 16, 32, 64, 109, 128, 218, 256, 436, 872, 1744, 3488, 6976, 13952, 27904.
What is 27904 in binary?
110110100000000 (hexadecimal 6D00, octal 66400).
What is the square root of 27904?
About 167.0449, exactly 16√109.
Is 27904 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 27904?
It is a composite number with 18 divisors.