The number 38384
38384 is a composite number with 10 divisors. Its prime factorisation is × 2399. Divisors (10): 1, 2, 4, 8, 16, 2399, 4798, 9596, 19192, 38384.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38384 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38384 is composite. Its prime factorisation is
- 3
The divisors add up to 74400; without 38384 itself that is 36016, so 38384 is deficient (36016 is less than 38384). Euler's totient φ(38384) = 19184 numbers up to 38384 share no factor with it.
- 4
The digits of 38384 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38384 = 2^{4} \times 2399 \]38384 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 74400 |
| Euler totient φ(n) | 19184 |
| Square | 1473331456 |
| Cube | 56552354607104 |
| Square root | 195.918350 (= 4√2399) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 75 |
| Scientific notation | 3.8384 × |
38384 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand three hundred and eighty-four |
| Binary (base 2) | 1001010111110000 |
| Octal (base 8) | 112760 |
| Hexadecimal (base 16) | 95F0 |
| Base 3 | 1221122122 |
| As time | 38384 seconds = 10 h 39 min 44 s |
Is 38384 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38384 ÷ 2 = 19192) | 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 (38384 ÷ 4 = 9596) | 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 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 | Yes (38384 ÷ 8 = 4798) | 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 5) | 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 38384 a prime number?
No. 38384 = × 2399, so it is divisible by 2.
What are the factors of 38384?
1, 2, 4, 8, 16, 2399, 4798, 9596, 19192, 38384.
What is 38384 in binary?
1001010111110000 (hexadecimal 95F0, octal 112760).
What is the square root of 38384?
About 195.9184, exactly 4√2399.
Is 38384 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 38384?
It is a composite number with 10 divisors.