The number 10804
10804 is a composite number with 12 divisors. Its prime factorisation is × 37 × 73. Divisors (12): 1, 2, 4, 37, 73, 74, 146, 148, 292, 2701, 5402, 10804.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10804 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10804 is composite. Its prime factorisation is
- 3
The divisors add up to 19684; without 10804 itself that is 8880, so 10804 is deficient (8880 is less than 10804). Euler's totient φ(10804) = 5184 numbers up to 10804 share no factor with it.
- 4
The digits of 10804 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 117 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10804 = 2^{2} \times 37 \times 73 \]10804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 19684 |
| Euler totient φ(n) | 5184 |
| Square | 116726416 |
| Cube | 1261112198464 |
| Square root | 103.942292 (= 2√2701) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 117 |
| Scientific notation | 1.0804 × |
10804 in other forms
| Form | Value |
|---|---|
| In words | ten thousand eight hundred and four |
| Binary (base 2) | 10101000110100 |
| Octal (base 8) | 25064 |
| Hexadecimal (base 16) | 2A34 |
| Base 3 | 112211011 |
| As time | 10804 seconds = 3 h 0 min 4 s |
Is 10804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10804 ÷ 2 = 5402) | 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 (10804 ÷ 4 = 2701) | 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 3) | 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 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 2) | 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 10804 a prime number?
No. 10804 = × 37 × 73, so it is divisible by 2.
What are the factors of 10804?
1, 2, 4, 37, 73, 74, 146, 148, 292, 2701, 5402, 10804.
What is 10804 in binary?
10101000110100 (hexadecimal 2A34, octal 25064).
What is the square root of 10804?
About 103.9423, exactly 2√2701.
Is 10804 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 10804?
It is a composite number with 12 divisors.