The number 11804
11804 is a composite number with 12 divisors. Its prime factorisation is × 13 × 227. Divisors (12): 1, 2, 4, 13, 26, 52, 227, 454, 908, 2951, 5902, 11804.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11804: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
11804 is composite. Its prime factorisation is
- 3
The divisors add up to 22344; without 11804 itself that is 10540, so 11804 is deficient (10540 is less than 11804). Euler's totient φ(11804) = 5424 numbers up to 11804 share no factor with it.
- 4
The digits of 11804 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 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11804 = 2^{2} \times 13 \times 227 \]11804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 22344 |
| Euler totient φ(n) | 5424 |
| Square | 139334416 |
| Cube | 1644703446464 |
| Square root | 108.646215 (= 2√2951) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 99 |
| Scientific notation | 1.1804 × |
11804 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand eight hundred and four |
| Binary (base 2) | 10111000011100 |
| Octal (base 8) | 27034 |
| Hexadecimal (base 16) | 2E1C |
| Base 3 | 121012012 |
| As time | 11804 seconds = 3 h 16 min 44 s |
Is 11804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11804 ÷ 2 = 5902) | 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 (11804 ÷ 4 = 2951) | 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 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 | No (remainder 4) | 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 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 11804 a prime number?
No. 11804 = × 13 × 227, so it is divisible by 2.
What are the factors of 11804?
1, 2, 4, 13, 26, 52, 227, 454, 908, 2951, 5902, 11804.
What is 11804 in binary?
10111000011100 (hexadecimal 2E1C, octal 27034).
What is the square root of 11804?
About 108.6462, exactly 2√2951.
Is 11804 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 11804?
11804 is a happy number: repeatedly adding the squares of its digits reaches 1.