The number 10816
10816 is a perfect square (104²). Its prime factorisation is × . Divisors (21): 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 169, 208, 338, 416, 676 … 10816.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10816: a perfect square (104²); a Harshad number: divisible by its digit sum 16.
- 2
10816 is composite. Its prime factorisation is
- 3
The divisors add up to 23241; without 10816 itself that is 12425, so 10816 is abundant (12425 is more than 10816). Euler's totient φ(10816) = 4992 numbers up to 10816 share no factor with it.
- 4
The digits of 10816 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10816 = 2^{6} \times 13^{2} \]10816 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 21 |
| Sum of divisors | 23241 |
| Euler totient φ(n) | 4992 |
| Square | 116985856 |
| Cube | 1265319018496 |
| Square root | 104 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 55 |
| Scientific notation | 1.0816 × |
| Perfect power |
10816 in other forms
| Form | Value |
|---|---|
| In words | ten thousand eight hundred and sixteen |
| Binary (base 2) | 10101001000000 |
| Octal (base 8) | 25100 |
| Hexadecimal (base 16) | 2A40 |
| Base 3 | 112211121 |
| As time | 10816 seconds = 3 h 0 min 16 s |
Is 10816 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10816 ÷ 2 = 5408) | 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 (10816 ÷ 4 = 2704) | 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 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 (10816 ÷ 8 = 1352) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 10816 a prime number?
No. 10816 = × , so it is divisible by 2.
What are the factors of 10816?
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 169, 208, 338, 416, 676, 832, 1352, 2704, 5408, 10816.
What is 10816 in binary?
10101001000000 (hexadecimal 2A40, octal 25100).
What is the square root of 10816?
104, because 104 × 104 = 10816.
Is 10816 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 10816?
10816 is a perfect square (104²); a Harshad number: divisible by its digit sum 16.