The number 38048
38048 is a composite number with 24 divisors. Its prime factorisation is × 29 × 41. Divisors (24): 1, 2, 4, 8, 16, 29, 32, 41, 58, 82, 116, 164, 232, 328, 464, 656 … 38048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38048 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38048 is composite. Its prime factorisation is
- 3
The divisors add up to 79380; without 38048 itself that is 41332, so 38048 is abundant (41332 is more than 38048). Euler's totient φ(38048) = 17920 numbers up to 38048 share no factor with it.
- 4
The digits of 38048 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 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38048 = 2^{5} \times 29 \times 41 \]38048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 79380 |
| Euler totient φ(n) | 17920 |
| Square | 1447650304 |
| Cube | 55080198766592 |
| Square root | 195.058965 (= 4√2378) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.8048 × |
38048 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand and forty-eight |
| Binary (base 2) | 1001010010100000 |
| Octal (base 8) | 112240 |
| Hexadecimal (base 16) | 94A0 |
| Base 3 | 1221012012 |
| As time | 38048 seconds = 10 h 34 min 8 s |
Is 38048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38048 ÷ 2 = 19024) | 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 (38048 ÷ 4 = 9512) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 (38048 ÷ 8 = 4756) | 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 8) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38048 a prime number?
No. 38048 = × 29 × 41, so it is divisible by 2.
What are the factors of 38048?
1, 2, 4, 8, 16, 29, 32, 41, 58, 82, 116, 164, 232, 328, 464, 656, 928, 1189, 1312, 2378, 4756, 9512, 19024, 38048.
What is 38048 in binary?
1001010010100000 (hexadecimal 94A0, octal 112240).
What is the square root of 38048?
About 195.0590, exactly 4√2378.
Is 38048 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 38048?
It is a composite number with 24 divisors.