The number 38008
38008 is a composite number with 8 divisors. Its prime factorisation is × 4751. Divisors (8): 1, 2, 4, 8, 4751, 9502, 19004, 38008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38008 is composite. Its prime factorisation is
- 3
The divisors add up to 71280; without 38008 itself that is 33272, so 38008 is deficient (33272 is less than 38008). Euler's totient φ(38008) = 19000 numbers up to 38008 share no factor with it.
- 4
The digits of 38008 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38008 = 2^{3} \times 4751 \]38008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 71280 |
| Euler totient φ(n) | 19000 |
| Square | 1444608064 |
| Cube | 54906663296512 |
| Square root | 194.956405 (= 2√9502) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.8008 × |
38008 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand and eight |
| Binary (base 2) | 1001010001111000 |
| Octal (base 8) | 112170 |
| Hexadecimal (base 16) | 9478 |
| Base 3 | 1221010201 |
| As time | 38008 seconds = 10 h 33 min 28 s |
Is 38008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38008 ÷ 2 = 19004) | 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 (38008 ÷ 4 = 9502) | 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 5) | 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 (38008 ÷ 8 = 4751) | 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 3) | 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 38008 a prime number?
No. 38008 = × 4751, so it is divisible by 2.
What are the factors of 38008?
1, 2, 4, 8, 4751, 9502, 19004, 38008.
What is 38008 in binary?
1001010001111000 (hexadecimal 9478, octal 112170).
What is the square root of 38008?
About 194.9564, exactly 2√9502.
Is 38008 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 38008?
It is a composite number with 8 divisors.