The number 38848
38848 is a composite number with 14 divisors. Its prime factorisation is × 607. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 607, 1214, 2428, 4856, 9712, 19424, 38848.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38848 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38848 is composite. Its prime factorisation is
- 3
The divisors add up to 77216; without 38848 itself that is 38368, so 38848 is deficient (38368 is less than 38848). Euler's totient φ(38848) = 19392 numbers up to 38848 share no factor with it.
- 4
The digits of 38848 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 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38848 = 2^{6} \times 607 \]38848 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 77216 |
| Euler totient φ(n) | 19392 |
| Square | 1509167104 |
| Cube | 58628123656192 |
| Square root | 197.098960 (= 8√607) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.8848 × |
38848 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand eight hundred and forty-eight |
| Binary (base 2) | 1001011111000000 |
| Octal (base 8) | 113700 |
| Hexadecimal (base 16) | 97C0 |
| Base 3 | 1222021211 |
| As time | 38848 seconds = 10 h 47 min 28 s |
Is 38848 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38848 ÷ 2 = 19424) | 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 (38848 ÷ 4 = 9712) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (38848 ÷ 8 = 4856) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 38848 a prime number?
No. 38848 = × 607, so it is divisible by 2.
What are the factors of 38848?
1, 2, 4, 8, 16, 32, 64, 607, 1214, 2428, 4856, 9712, 19424, 38848.
What is 38848 in binary?
1001011111000000 (hexadecimal 97C0, octal 113700).
What is the square root of 38848?
About 197.0990, exactly 8√607.
Is 38848 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 38848?
It is a composite number with 14 divisors.