The number 8816
8816 is a composite number with 20 divisors. Its prime factorisation is × 19 × 29. Divisors (20): 1, 2, 4, 8, 16, 19, 29, 38, 58, 76, 116, 152, 232, 304, 464, 551 … 8816.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8816 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8816 is composite. Its prime factorisation is
- 3
The divisors add up to 18600; without 8816 itself that is 9784, so 8816 is abundant (9784 is more than 8816). Euler's totient φ(8816) = 4032 numbers up to 8816 share no factor with it.
- 4
The digits of 8816 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 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8816 = 2^{4} \times 19 \times 29 \]8816 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 18600 |
| Euler totient φ(n) | 4032 |
| Square | 77721856 |
| Cube | 685195882496 |
| Square root | 93.893557 (= 4√551) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 47 |
| Scientific notation | 8.816 × |
8816 in other forms
| Form | Value |
|---|---|
| In words | eight thousand eight hundred and sixteen |
| Binary (base 2) | 10001001110000 |
| Octal (base 8) | 21160 |
| Hexadecimal (base 16) | 2270 |
| Base 3 | 110002112 |
| As time | 8816 seconds = 2 h 26 min 56 s |
Is 8816 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8816 ÷ 2 = 4408) | 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 (8816 ÷ 4 = 2204) | 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 2) | 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 (8816 ÷ 8 = 1102) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 8816 a prime number?
No. 8816 = × 19 × 29, so it is divisible by 2.
What are the factors of 8816?
1, 2, 4, 8, 16, 19, 29, 38, 58, 76, 116, 152, 232, 304, 464, 551, 1102, 2204, 4408, 8816.
What is 8816 in binary?
10001001110000 (hexadecimal 2270, octal 21160).
What is the square root of 8816?
About 93.8936, exactly 4√551.
Is 8816 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 8816?
It is a composite number with 20 divisors.