The number 10904
10904 is a composite number with 16 divisors. Its prime factorisation is × 29 × 47. Divisors (16): 1, 2, 4, 8, 29, 47, 58, 94, 116, 188, 232, 376, 1363, 2726, 5452, 10904.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10904 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10904 is composite. Its prime factorisation is
- 3
The divisors add up to 21600; without 10904 itself that is 10696, so 10904 is deficient (10696 is less than 10904). Euler's totient φ(10904) = 5152 numbers up to 10904 share no factor with it.
- 4
The digits of 10904 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10904 = 2^{3} \times 29 \times 47 \]10904 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 21600 |
| Euler totient φ(n) | 5152 |
| Square | 118897216 |
| Cube | 1296455243264 |
| Square root | 104.422220 (= 2√2726) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 68 |
| Scientific notation | 1.0904 × |
10904 in other forms
| Form | Value |
|---|---|
| In words | ten thousand nine hundred and four |
| Binary (base 2) | 10101010011000 |
| Octal (base 8) | 25230 |
| Hexadecimal (base 16) | 2A98 |
| Base 3 | 112221212 |
| As time | 10904 seconds = 3 h 1 min 44 s |
Is 10904 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10904 ÷ 2 = 5452) | 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 (10904 ÷ 4 = 2726) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (10904 ÷ 8 = 1363) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 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 10904 a prime number?
No. 10904 = × 29 × 47, so it is divisible by 2.
What are the factors of 10904?
1, 2, 4, 8, 29, 47, 58, 94, 116, 188, 232, 376, 1363, 2726, 5452, 10904.
What is 10904 in binary?
10101010011000 (hexadecimal 2A98, octal 25230).
What is the square root of 10904?
About 104.4222, exactly 2√2726.
Is 10904 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 10904?
It is a composite number with 16 divisors.