The number 16804
16804 is a composite number with 6 divisors. Its prime factorisation is × 4201. Divisors (6): 1, 2, 4, 4201, 8402, 16804.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16804 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16804 is composite. Its prime factorisation is
- 3
The divisors add up to 29414; without 16804 itself that is 12610, so 16804 is deficient (12610 is less than 16804). Euler's totient φ(16804) = 8400 numbers up to 16804 share no factor with it.
- 4
The digits of 16804 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16804 = 2^{2} \times 4201 \]16804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 29414 |
| Euler totient φ(n) | 8400 |
| Square | 282374416 |
| Cube | 4745019686464 |
| Square root | 129.630243 (= 2√4201) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.6804 × |
16804 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand eight hundred and four |
| Binary (base 2) | 100000110100100 |
| Octal (base 8) | 40644 |
| Hexadecimal (base 16) | 41A4 |
| Base 3 | 212001101 |
| As time | 16804 seconds = 4 h 40 min 4 s |
Is 16804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16804 ÷ 2 = 8402) | 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 (16804 ÷ 4 = 4201) | 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 4) | 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 1) | 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 7) | 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 16804 a prime number?
No. 16804 = × 4201, so it is divisible by 2.
What are the factors of 16804?
1, 2, 4, 4201, 8402, 16804.
What is 16804 in binary?
100000110100100 (hexadecimal 41A4, octal 40644).
What is the square root of 16804?
About 129.6302, exactly 2√4201.
Is 16804 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 16804?
It is a composite number with 6 divisors.