The number 16816
16816 is a composite number with 10 divisors. Its prime factorisation is × 1051. Divisors (10): 1, 2, 4, 8, 16, 1051, 2102, 4204, 8408, 16816.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16816 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16816 is composite. Its prime factorisation is
- 3
The divisors add up to 32612; without 16816 itself that is 15796, so 16816 is deficient (15796 is less than 16816). Euler's totient φ(16816) = 8400 numbers up to 16816 share no factor with it.
- 4
The digits of 16816 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 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16816 = 2^{4} \times 1051 \]16816 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 32612 |
| Euler totient φ(n) | 8400 |
| Square | 282777856 |
| Cube | 4755192426496 |
| Square root | 129.676521 (= 4√1051) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 97 |
| Scientific notation | 1.6816 × |
16816 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand eight hundred and sixteen |
| Binary (base 2) | 100000110110000 |
| Octal (base 8) | 40660 |
| Hexadecimal (base 16) | 41B0 |
| Base 3 | 212001211 |
| As time | 16816 seconds = 4 h 40 min 16 s |
Is 16816 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16816 ÷ 2 = 8408) | 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 (16816 ÷ 4 = 4204) | 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 2) | 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 (16816 ÷ 8 = 2102) | 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 8) | 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 16816 a prime number?
No. 16816 = × 1051, so it is divisible by 2.
What are the factors of 16816?
1, 2, 4, 8, 16, 1051, 2102, 4204, 8408, 16816.
What is 16816 in binary?
100000110110000 (hexadecimal 41B0, octal 40660).
What is the square root of 16816?
About 129.6765, exactly 4√1051.
Is 16816 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 16816?
It is a composite number with 10 divisors.