The number 16768
16768 is a composite number with 16 divisors. Its prime factorisation is × 131. Divisors (16): 1, 2, 4, 8, 16, 32, 64, 128, 131, 262, 524, 1048, 2096, 4192, 8384, 16768.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16768 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16768 is composite. Its prime factorisation is
- 3
The divisors add up to 33660; without 16768 itself that is 16892, so 16768 is abundant (16892 is more than 16768). Euler's totient φ(16768) = 8320 numbers up to 16768 share no factor with it.
- 4
The digits of 16768 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16768 = 2^{7} \times 131 \]16768 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 33660 |
| Euler totient φ(n) | 8320 |
| Square | 281165824 |
| Cube | 4714588536832 |
| Square root | 129.491312 (= 8√262) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 35 |
| Scientific notation | 1.6768 × |
16768 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand seven hundred and sixty-eight |
| Binary (base 2) | 100000110000000 |
| Octal (base 8) | 40600 |
| Hexadecimal (base 16) | 4180 |
| Base 3 | 212000001 |
| As time | 16768 seconds = 4 h 39 min 28 s |
Is 16768 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16768 ÷ 2 = 8384) | 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 (16768 ÷ 4 = 4192) | 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 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 | Yes (16768 ÷ 8 = 2096) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 16768 a prime number?
No. 16768 = × 131, so it is divisible by 2.
What are the factors of 16768?
1, 2, 4, 8, 16, 32, 64, 128, 131, 262, 524, 1048, 2096, 4192, 8384, 16768.
What is 16768 in binary?
100000110000000 (hexadecimal 4180, octal 40600).
What is the square root of 16768?
About 129.4913, exactly 8√262.
Is 16768 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 16768?
It is a composite number with 16 divisors.