The number 38408
38408 is a composite number with 8 divisors. Its prime factorisation is × 4801. Divisors (8): 1, 2, 4, 8, 4801, 9602, 19204, 38408.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38408 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38408 is composite. Its prime factorisation is
- 3
The divisors add up to 72030; without 38408 itself that is 33622, so 38408 is deficient (33622 is less than 38408). Euler's totient φ(38408) = 19200 numbers up to 38408 share no factor with it.
- 4
The digits of 38408 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38408 = 2^{3} \times 4801 \]38408 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 72030 |
| Euler totient φ(n) | 19200 |
| Square | 1475174464 |
| Cube | 56658500813312 |
| Square root | 195.979591 (= 2√9602) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.8408 × |
38408 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand four hundred and eight |
| Binary (base 2) | 1001011000001000 |
| Octal (base 8) | 113010 |
| Hexadecimal (base 16) | 9608 |
| Base 3 | 1221200112 |
| As time | 38408 seconds = 10 h 40 min 8 s |
Is 38408 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38408 ÷ 2 = 19204) | 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 (38408 ÷ 4 = 9602) | 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 6) | 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 (38408 ÷ 8 = 4801) | 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 7) | 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 38408 a prime number?
No. 38408 = × 4801, so it is divisible by 2.
What are the factors of 38408?
1, 2, 4, 8, 4801, 9602, 19204, 38408.
What is 38408 in binary?
1001011000001000 (hexadecimal 9608, octal 113010).
What is the square root of 38408?
About 195.9796, exactly 2√9602.
Is 38408 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 38408?
It is a composite number with 8 divisors.