The number 16096
16096 is a composite number with 12 divisors. Its prime factorisation is × 503. Divisors (12): 1, 2, 4, 8, 16, 32, 503, 1006, 2012, 4024, 8048, 16096.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16096 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16096 is composite. Its prime factorisation is
- 3
The divisors add up to 31752; without 16096 itself that is 15656, so 16096 is deficient (15656 is less than 16096). Euler's totient φ(16096) = 8032 numbers up to 16096 share no factor with it.
- 4
The digits of 16096 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16096 = 2^{5} \times 503 \]16096 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 31752 |
| Euler totient φ(n) | 8032 |
| Square | 259081216 |
| Cube | 4170171252736 |
| Square root | 126.870012 (= 4√1006) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 71 |
| Scientific notation | 1.6096 × |
16096 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand and ninety-six |
| Binary (base 2) | 11111011100000 |
| Octal (base 8) | 37340 |
| Hexadecimal (base 16) | 3EE0 |
| Base 3 | 211002011 |
| As time | 16096 seconds = 4 h 28 min 16 s |
Is 16096 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16096 ÷ 2 = 8048) | 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 (16096 ÷ 4 = 4024) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 (16096 ÷ 8 = 2012) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 16096 a prime number?
No. 16096 = × 503, so it is divisible by 2.
What are the factors of 16096?
1, 2, 4, 8, 16, 32, 503, 1006, 2012, 4024, 8048, 16096.
What is 16096 in binary?
11111011100000 (hexadecimal 3EE0, octal 37340).
What is the square root of 16096?
About 126.8700, exactly 4√1006.
Is 16096 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 16096?
It is a composite number with 12 divisors.