The number 38884
38884 is a composite number with 6 divisors. Its prime factorisation is × 9721. Divisors (6): 1, 2, 4, 9721, 19442, 38884.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38884 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38884 is composite. Its prime factorisation is
- 3
The divisors add up to 68054; without 38884 itself that is 29170, so 38884 is deficient (29170 is less than 38884). Euler's totient φ(38884) = 19440 numbers up to 38884 share no factor with it.
- 4
The digits of 38884 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38884 = 2^{2} \times 9721 \]38884 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 68054 |
| Euler totient φ(n) | 19440 |
| Square | 1511965456 |
| Cube | 58791264791104 |
| Square root | 197.190263 (= 2√9721) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.8884 × |
38884 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand eight hundred and eighty-four |
| Binary (base 2) | 1001011111100100 |
| Octal (base 8) | 113744 |
| Hexadecimal (base 16) | 97E4 |
| Base 3 | 1222100011 |
| As time | 38884 seconds = 10 h 48 min 4 s |
Is 38884 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38884 ÷ 2 = 19442) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38884 ÷ 4 = 9721) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38884 a prime number?
No. 38884 = × 9721, so it is divisible by 2.
What are the factors of 38884?
1, 2, 4, 9721, 19442, 38884.
What is 38884 in binary?
1001011111100100 (hexadecimal 97E4, octal 113744).
What is the square root of 38884?
About 197.1903, exactly 2√9721.
Is 38884 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 38884?
It is a composite number with 6 divisors.