The number 20384
20384 is a composite number with 36 divisors. Its prime factorisation is × × 13. Divisors (36): 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 49, 52, 56, 91, 98 … 20384.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
20384 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20384 is composite. Its prime factorisation is
- 3
The divisors add up to 50274; without 20384 itself that is 29890, so 20384 is abundant (29890 is more than 20384). Euler's totient φ(20384) = 8064 numbers up to 20384 share no factor with it.
- 4
The digits of 20384 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 61 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20384 = 2^{5} \times 7^{2} \times 13 \]20384 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 50274 |
| Euler totient φ(n) | 8064 |
| Square | 415507456 |
| Cube | 8469703983104 |
| Square root | 142.772546 (= 28√26) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 61 |
| Scientific notation | 2.0384 × |
20384 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand three hundred and eighty-four |
| Binary (base 2) | 100111110100000 |
| Octal (base 8) | 47640 |
| Hexadecimal (base 16) | 4FA0 |
| Base 3 | 1000221222 |
| As time | 20384 seconds = 5 h 39 min 44 s |
Is 20384 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20384 ÷ 2 = 10192) | 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 (20384 ÷ 4 = 5096) | 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 | Yes (20384 ÷ 7 = 2912) | 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 (20384 ÷ 8 = 2548) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 1) | 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 20384 a prime number?
No. 20384 = × × 13, so it is divisible by 2.
What are the factors of 20384?
1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 49, 52, 56, 91, 98, 104, 112, 182, 196, 208, 224, 364, 392, 416, 637, 728, 784, 1274, 1456, 1568, 2548, 2912, 5096, 10192, 20384.
What is 20384 in binary?
100111110100000 (hexadecimal 4FA0, octal 47640).
What is the square root of 20384?
About 142.7725, exactly 28√26.
Is 20384 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 20384?
It is a composite number with 36 divisors.