The number 38108
38108 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1361. Divisors (12): 1, 2, 4, 7, 14, 28, 1361, 2722, 5444, 9527, 19054, 38108.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38108 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38108 is composite. Its prime factorisation is
- 3
The divisors add up to 76272; without 38108 itself that is 38164, so 38108 is abundant (38164 is more than 38108). Euler's totient φ(38108) = 16320 numbers up to 38108 share no factor with it.
- 4
The digits of 38108 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 199 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38108 = 2^{2} \times 7 \times 1361 \]38108 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 76272 |
| Euler totient φ(n) | 16320 |
| Square | 1452219664 |
| Cube | 55341186955712 |
| Square root | 195.212705 (= 2√9527) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 199 |
| Scientific notation | 3.8108 × |
38108 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand one hundred and eight |
| Binary (base 2) | 1001010011011100 |
| Octal (base 8) | 112334 |
| Hexadecimal (base 16) | 94DC |
| Base 3 | 1221021102 |
| As time | 38108 seconds = 10 h 35 min 8 s |
Is 38108 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38108 ÷ 2 = 19054) | 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 (38108 ÷ 4 = 9527) | 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 | Yes (38108 ÷ 7 = 5444) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 38108 a prime number?
No. 38108 = × 7 × 1361, so it is divisible by 2.
What are the factors of 38108?
1, 2, 4, 7, 14, 28, 1361, 2722, 5444, 9527, 19054, 38108.
What is 38108 in binary?
1001010011011100 (hexadecimal 94DC, octal 112334).
What is the square root of 38108?
About 195.2127, exactly 2√9527.
Is 38108 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 38108?
It is a composite number with 12 divisors.