The number 38084
38084 is a composite number with 6 divisors. Its prime factorisation is × 9521. Divisors (6): 1, 2, 4, 9521, 19042, 38084.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38084 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38084 is composite. Its prime factorisation is
- 3
The divisors add up to 66654; without 38084 itself that is 28570, so 38084 is deficient (28570 is less than 38084). Euler's totient φ(38084) = 19040 numbers up to 38084 share no factor with it.
- 4
The digits of 38084 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 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38084 = 2^{2} \times 9521 \]38084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 66654 |
| Euler totient φ(n) | 19040 |
| Square | 1450391056 |
| Cube | 55236692976704 |
| Square root | 195.151223 (= 2√9521) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 36 |
| Scientific notation | 3.8084 × |
38084 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand and eighty-four |
| Binary (base 2) | 1001010011000100 |
| Octal (base 8) | 112304 |
| Hexadecimal (base 16) | 94C4 |
| Base 3 | 1221020112 |
| As time | 38084 seconds = 10 h 34 min 44 s |
Is 38084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38084 ÷ 2 = 19042) | 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 (38084 ÷ 4 = 9521) | 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 4) | 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 4) | 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 38084 a prime number?
No. 38084 = × 9521, so it is divisible by 2.
What are the factors of 38084?
1, 2, 4, 9521, 19042, 38084.
What is 38084 in binary?
1001010011000100 (hexadecimal 94C4, octal 112304).
What is the square root of 38084?
About 195.1512, exactly 2√9521.
Is 38084 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 38084?
It is a composite number with 6 divisors.