The number 16382
16382 is a composite number with 4 divisors. Its prime factorisation is 2 × 8191. Divisors (4): 1, 2, 8191, 16382.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16382: a semiprime: 2 × 8191, the product of two primes.
- 2
16382 is composite. Its prime factorisation is
- 3
The divisors add up to 24576; without 16382 itself that is 8194, so 16382 is deficient (8194 is less than 16382). Euler's totient φ(16382) = 8190 numbers up to 16382 share no factor with it.
- 4
The digits of 16382 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 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16382 = 2 \times 8191 \]
16382 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 24576 |
| Euler totient φ(n) | 8190 |
| Square | 268369924 |
| Cube | 4396436094968 |
| Square root | 127.992187 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 159 |
| Scientific notation | 1.6382 × |
16382 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand three hundred and eighty-two |
| Binary (base 2) | 11111111111110 |
| Octal (base 8) | 37776 |
| Hexadecimal (base 16) | 3FFE |
| Base 3 | 211110202 |
| As time | 16382 seconds = 4 h 33 min 2 s |
Is 16382 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16382 ÷ 2 = 8191) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 | No (remainder 6) | 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 2) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16382 a prime number?
No. 16382 = 2 × 8191, so it is divisible by 2.
What are the factors of 16382?
1, 2, 8191, 16382.
What is 16382 in binary?
11111111111110 (hexadecimal 3FFE, octal 37776).
What is the square root of 16382?
About 127.9922.
Is 16382 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 16382?
16382 is a semiprime: 2 × 8191, the product of two primes.