The number 8382
8382 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 11 × 127. Divisors (16): 1, 2, 3, 6, 11, 22, 33, 66, 127, 254, 381, 762, 1397, 2794, 4191, 8382.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8382 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8382 is composite. Its prime factorisation is
- 3
The divisors add up to 18432; without 8382 itself that is 10050, so 8382 is abundant (10050 is more than 8382). Euler's totient φ(8382) = 2520 numbers up to 8382 share no factor with it.
- 4
The digits of 8382 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8382 = 2 \times 3 \times 11 \times 127 \]
8382 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 18432 |
| Euler totient φ(n) | 2520 |
| Square | 70257924 |
| Cube | 588901918968 |
| Square root | 91.553263 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 109 |
| Scientific notation | 8.382 × |
8382 in other forms
| Form | Value |
|---|---|
| In words | eight thousand three hundred and eighty-two |
| Binary (base 2) | 10000010111110 |
| Octal (base 8) | 20276 |
| Hexadecimal (base 16) | 20BE |
| Base 3 | 102111110 |
| As time | 8382 seconds = 2 h 19 min 42 s |
Is 8382 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8382 ÷ 2 = 4191) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8382 ÷ 3 = 2794) | 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 | Yes (8382 ÷ 6 = 1397) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | Yes (8382 ÷ 11 = 762) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8382 a prime number?
No. 8382 = 2 × 3 × 11 × 127, so it is divisible by 2.
What are the factors of 8382?
1, 2, 3, 6, 11, 22, 33, 66, 127, 254, 381, 762, 1397, 2794, 4191, 8382.
What is 8382 in binary?
10000010111110 (hexadecimal 20BE, octal 20276).
What is the square root of 8382?
About 91.5533.
Is 8382 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 8382?
It is a composite number with 16 divisors.