The number 8384
8384 is a composite number with 14 divisors. Its prime factorisation is × 131. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 131, 262, 524, 1048, 2096, 4192, 8384.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8384 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8384 is composite. Its prime factorisation is
- 3
The divisors add up to 16764; without 8384 itself that is 8380, so 8384 is deficient (8380 is less than 8384). Euler's totient φ(8384) = 4160 numbers up to 8384 share no factor with it.
- 4
The digits of 8384 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 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8384 = 2^{6} \times 131 \]8384 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 16764 |
| Euler totient φ(n) | 4160 |
| Square | 70291456 |
| Cube | 589323567104 |
| Square root | 91.564185 (= 8√131) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 34 |
| Scientific notation | 8.384 × |
8384 in other forms
| Form | Value |
|---|---|
| In words | eight thousand three hundred and eighty-four |
| Binary (base 2) | 10000011000000 |
| Octal (base 8) | 20300 |
| Hexadecimal (base 16) | 20C0 |
| Base 3 | 102111112 |
| As time | 8384 seconds = 2 h 19 min 44 s |
Is 8384 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8384 ÷ 2 = 4192) | 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 (8384 ÷ 4 = 2096) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 5) | 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 (8384 ÷ 8 = 1048) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 8384 a prime number?
No. 8384 = × 131, so it is divisible by 2.
What are the factors of 8384?
1, 2, 4, 8, 16, 32, 64, 131, 262, 524, 1048, 2096, 4192, 8384.
What is 8384 in binary?
10000011000000 (hexadecimal 20C0, octal 20300).
What is the square root of 8384?
About 91.5642, exactly 8√131.
Is 8384 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 8384?
It is a composite number with 14 divisors.