The number 38824
38824 is a composite number with 16 divisors. Its prime factorisation is × 23 × 211. Divisors (16): 1, 2, 4, 8, 23, 46, 92, 184, 211, 422, 844, 1688, 4853, 9706, 19412, 38824.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38824 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38824 is composite. Its prime factorisation is
- 3
The divisors add up to 76320; without 38824 itself that is 37496, so 38824 is deficient (37496 is less than 38824). Euler's totient φ(38824) = 18480 numbers up to 38824 share no factor with it.
- 4
The digits of 38824 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38824 = 2^{3} \times 23 \times 211 \]38824 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 76320 |
| Euler totient φ(n) | 18480 |
| Square | 1507302976 |
| Cube | 58519530740224 |
| Square root | 197.038067 (= 2√9706) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.8824 × |
38824 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand eight hundred and twenty-four |
| Binary (base 2) | 1001011110101000 |
| Octal (base 8) | 113650 |
| Hexadecimal (base 16) | 97A8 |
| Base 3 | 1222020221 |
| As time | 38824 seconds = 10 h 47 min 4 s |
Is 38824 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38824 ÷ 2 = 19412) | 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 (38824 ÷ 4 = 9706) | 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 2) | 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 (38824 ÷ 8 = 4853) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38824 a prime number?
No. 38824 = × 23 × 211, so it is divisible by 2.
What are the factors of 38824?
1, 2, 4, 8, 23, 46, 92, 184, 211, 422, 844, 1688, 4853, 9706, 19412, 38824.
What is 38824 in binary?
1001011110101000 (hexadecimal 97A8, octal 113650).
What is the square root of 38824?
About 197.0381, exactly 2√9706.
Is 38824 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 38824?
It is a composite number with 16 divisors.