The number 38768
38768 is a composite number with 10 divisors. Its prime factorisation is × 2423. Divisors (10): 1, 2, 4, 8, 16, 2423, 4846, 9692, 19384, 38768.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38768 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38768 is composite. Its prime factorisation is
- 3
The divisors add up to 75144; without 38768 itself that is 36376, so 38768 is deficient (36376 is less than 38768). Euler's totient φ(38768) = 19376 numbers up to 38768 share no factor with it.
- 4
The digits of 38768 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38768 = 2^{4} \times 2423 \]38768 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 75144 |
| Euler totient φ(n) | 19376 |
| Square | 1502957824 |
| Cube | 58266668920832 |
| Square root | 196.895912 (= 4√2423) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 75 |
| Scientific notation | 3.8768 × |
38768 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand seven hundred and sixty-eight |
| Binary (base 2) | 1001011101110000 |
| Octal (base 8) | 113560 |
| Hexadecimal (base 16) | 9770 |
| Base 3 | 1222011212 |
| As time | 38768 seconds = 10 h 46 min 8 s |
Is 38768 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38768 ÷ 2 = 19384) | 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 (38768 ÷ 4 = 9692) | 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 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 (38768 ÷ 8 = 4846) | 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 4) | 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 38768 a prime number?
No. 38768 = × 2423, so it is divisible by 2.
What are the factors of 38768?
1, 2, 4, 8, 16, 2423, 4846, 9692, 19384, 38768.
What is 38768 in binary?
1001011101110000 (hexadecimal 9770, octal 113560).
What is the square root of 38768?
About 196.8959, exactly 4√2423.
Is 38768 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 38768?
It is a composite number with 10 divisors.