The number 38816
38816 is a composite number with 12 divisors. Its prime factorisation is × 1213. Divisors (12): 1, 2, 4, 8, 16, 32, 1213, 2426, 4852, 9704, 19408, 38816.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38816 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38816 is composite. Its prime factorisation is
- 3
The divisors add up to 76482; without 38816 itself that is 37666, so 38816 is deficient (37666 is less than 38816). Euler's totient φ(38816) = 19392 numbers up to 38816 share no factor with it.
- 4
The digits of 38816 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38816 = 2^{5} \times 1213 \]38816 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 76482 |
| Euler totient φ(n) | 19392 |
| Square | 1506681856 |
| Cube | 58483362922496 |
| Square root | 197.017766 (= 4√2426) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.8816 × |
38816 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand eight hundred and sixteen |
| Binary (base 2) | 1001011110100000 |
| Octal (base 8) | 113640 |
| Hexadecimal (base 16) | 97A0 |
| Base 3 | 1222020122 |
| As time | 38816 seconds = 10 h 46 min 56 s |
Is 38816 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38816 ÷ 2 = 19408) | 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 (38816 ÷ 4 = 9704) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 1) | 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 (38816 ÷ 8 = 4852) | 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 6) | 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 38816 a prime number?
No. 38816 = × 1213, so it is divisible by 2.
What are the factors of 38816?
1, 2, 4, 8, 16, 32, 1213, 2426, 4852, 9704, 19408, 38816.
What is 38816 in binary?
1001011110100000 (hexadecimal 97A0, octal 113640).
What is the square root of 38816?
About 197.0178, exactly 4√2426.
Is 38816 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 38816?
It is a composite number with 12 divisors.