The number 13804
13804 is a composite number with 24 divisors. Its prime factorisation is × 7 × 17 × 29. Divisors (24): 1, 2, 4, 7, 14, 17, 28, 29, 34, 58, 68, 116, 119, 203, 238, 406 … 13804.
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How to work it out
- 1
13804 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13804 is composite. Its prime factorisation is
- 3
The divisors add up to 30240; without 13804 itself that is 16436, so 13804 is abundant (16436 is more than 13804). Euler's totient φ(13804) = 5376 numbers up to 13804 share no factor with it.
- 4
The digits of 13804 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13804 = 2^{2} \times 7 \times 17 \times 29 \]13804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 30240 |
| Euler totient φ(n) | 5376 |
| Square | 190550416 |
| Cube | 2630357942464 |
| Square root | 117.490425 (= 2√3451) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.3804 × |
13804 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and four |
| Binary (base 2) | 11010111101100 |
| Octal (base 8) | 32754 |
| Hexadecimal (base 16) | 35EC |
| Base 3 | 200221021 |
| As time | 13804 seconds = 3 h 50 min 4 s |
Is 13804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13804 ÷ 2 = 6902) | 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 (13804 ÷ 4 = 3451) | 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 | Yes (13804 ÷ 7 = 1972) | 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 7) | 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 10) | 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 13804 a prime number?
No. 13804 = × 7 × 17 × 29, so it is divisible by 2.
What are the factors of 13804?
1, 2, 4, 7, 14, 17, 28, 29, 34, 58, 68, 116, 119, 203, 238, 406, 476, 493, 812, 986, 1972, 3451, 6902, 13804.
What is 13804 in binary?
11010111101100 (hexadecimal 35EC, octal 32754).
What is the square root of 13804?
About 117.4904, exactly 2√3451.
Is 13804 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 13804?
It is a composite number with 24 divisors.