The number 38908
38908 is a composite number with 12 divisors. Its prime factorisation is × 71 × 137. Divisors (12): 1, 2, 4, 71, 137, 142, 274, 284, 548, 9727, 19454, 38908.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38908 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38908 is composite. Its prime factorisation is
- 3
The divisors add up to 69552; without 38908 itself that is 30644, so 38908 is deficient (30644 is less than 38908). Euler's totient φ(38908) = 19040 numbers up to 38908 share no factor with it.
- 4
The digits of 38908 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38908 = 2^{2} \times 71 \times 137 \]38908 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 69552 |
| Euler totient φ(n) | 19040 |
| Square | 1513832464 |
| Cube | 58900193509312 |
| Square root | 197.251109 (= 2√9727) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.8908 × |
38908 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand nine hundred and eight |
| Binary (base 2) | 1001011111111100 |
| Octal (base 8) | 113774 |
| Hexadecimal (base 16) | 97FC |
| Base 3 | 1222101001 |
| As time | 38908 seconds = 10 h 48 min 28 s |
Is 38908 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38908 ÷ 2 = 19454) | 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 (38908 ÷ 4 = 9727) | 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 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 1) | 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 38908 a prime number?
No. 38908 = × 71 × 137, so it is divisible by 2.
What are the factors of 38908?
1, 2, 4, 71, 137, 142, 274, 284, 548, 9727, 19454, 38908.
What is 38908 in binary?
1001011111111100 (hexadecimal 97FC, octal 113774).
What is the square root of 38908?
About 197.2511, exactly 2√9727.
Is 38908 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 38908?
It is a composite number with 12 divisors.