The number 16808
16808 is a composite number with 16 divisors. Its prime factorisation is × 11 × 191. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 88, 191, 382, 764, 1528, 2101, 4202, 8404, 16808.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16808 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16808 is composite. Its prime factorisation is
- 3
The divisors add up to 34560; without 16808 itself that is 17752, so 16808 is abundant (17752 is more than 16808). Euler's totient φ(16808) = 7600 numbers up to 16808 share no factor with it.
- 4
The digits of 16808 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16808 = 2^{3} \times 11 \times 191 \]16808 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 34560 |
| Euler totient φ(n) | 7600 |
| Square | 282508864 |
| Cube | 4748408986112 |
| Square root | 129.645671 (= 2√4202) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 35 |
| Scientific notation | 1.6808 × |
16808 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand eight hundred and eight |
| Binary (base 2) | 100000110101000 |
| Octal (base 8) | 40650 |
| Hexadecimal (base 16) | 41A8 |
| Base 3 | 212001112 |
| As time | 16808 seconds = 4 h 40 min 8 s |
Is 16808 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16808 ÷ 2 = 8404) | 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 (16808 ÷ 4 = 4202) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 1) | 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 (16808 ÷ 8 = 2101) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (16808 ÷ 11 = 1528) | 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 16808 a prime number?
No. 16808 = × 11 × 191, so it is divisible by 2.
What are the factors of 16808?
1, 2, 4, 8, 11, 22, 44, 88, 191, 382, 764, 1528, 2101, 4202, 8404, 16808.
What is 16808 in binary?
100000110101000 (hexadecimal 41A8, octal 40650).
What is the square root of 16808?
About 129.6457, exactly 2√4202.
Is 16808 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 16808?
It is a composite number with 16 divisors.