The number 32816
32816 is a composite number with 20 divisors. Its prime factorisation is × 7 × 293. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 293, 586, 1172, 2051, 2344, 4102 … 32816.
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How to work it out
- 1
32816 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32816 is composite. Its prime factorisation is
- 3
The divisors add up to 72912; without 32816 itself that is 40096, so 32816 is abundant (40096 is more than 32816). Euler's totient φ(32816) = 14016 numbers up to 32816 share no factor with it.
- 4
The digits of 32816 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32816 = 2^{4} \times 7 \times 293 \]32816 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 72912 |
| Euler totient φ(n) | 14016 |
| Square | 1076889856 |
| Cube | 35339217514496 |
| Square root | 181.151870 (= 4√2051) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.2816 × |
32816 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand eight hundred and sixteen |
| Binary (base 2) | 1000000000110000 |
| Octal (base 8) | 100060 |
| Hexadecimal (base 16) | 8030 |
| Base 3 | 1200000102 |
| As time | 32816 seconds = 9 h 6 min 56 s |
Is 32816 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32816 ÷ 2 = 16408) | 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 (32816 ÷ 4 = 8204) | 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 | Yes (32816 ÷ 7 = 4688) | 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 (32816 ÷ 8 = 4102) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32816 a prime number?
No. 32816 = × 7 × 293, so it is divisible by 2.
What are the factors of 32816?
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 293, 586, 1172, 2051, 2344, 4102, 4688, 8204, 16408, 32816.
What is 32816 in binary?
1000000000110000 (hexadecimal 8030, octal 100060).
What is the square root of 32816?
About 181.1519, exactly 4√2051.
Is 32816 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 32816?
It is a composite number with 20 divisors.