The number 38024
38024 is a composite number with 24 divisors. Its prime factorisation is × × 97. Divisors (24): 1, 2, 4, 7, 8, 14, 28, 49, 56, 97, 98, 194, 196, 388, 392, 679 … 38024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38024 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38024 is composite. Its prime factorisation is
- 3
The divisors add up to 83790; without 38024 itself that is 45766, so 38024 is abundant (45766 is more than 38024). Euler's totient φ(38024) = 16128 numbers up to 38024 share no factor with it.
- 4
The digits of 38024 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 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38024 = 2^{3} \times 7^{2} \times 97 \]38024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 83790 |
| Euler totient φ(n) | 16128 |
| Square | 1445824576 |
| Cube | 54976033677824 |
| Square root | 194.997436 (= 14√194) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.8024 × |
38024 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand and twenty-four |
| Binary (base 2) | 1001010010001000 |
| Octal (base 8) | 112210 |
| Hexadecimal (base 16) | 9488 |
| Base 3 | 1221011022 |
| As time | 38024 seconds = 10 h 33 min 44 s |
Is 38024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38024 ÷ 2 = 19012) | 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 (38024 ÷ 4 = 9506) | 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 (38024 ÷ 7 = 5432) | 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 (38024 ÷ 8 = 4753) | 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 8) | 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 38024 a prime number?
No. 38024 = × × 97, so it is divisible by 2.
What are the factors of 38024?
1, 2, 4, 7, 8, 14, 28, 49, 56, 97, 98, 194, 196, 388, 392, 679, 776, 1358, 2716, 4753, 5432, 9506, 19012, 38024.
What is 38024 in binary?
1001010010001000 (hexadecimal 9488, octal 112210).
What is the square root of 38024?
About 194.9974, exactly 14√194.
Is 38024 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 38024?
It is a composite number with 24 divisors.