The number 38504
38504 is a composite number with 8 divisors. Its prime factorisation is × 4813. Divisors (8): 1, 2, 4, 8, 4813, 9626, 19252, 38504.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38504 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38504 is composite. Its prime factorisation is
- 3
The divisors add up to 72210; without 38504 itself that is 33706, so 38504 is deficient (33706 is less than 38504). Euler's totient φ(38504) = 19248 numbers up to 38504 share no factor with it.
- 4
The digits of 38504 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 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38504 = 2^{3} \times 4813 \]38504 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 72210 |
| Euler totient φ(n) | 19248 |
| Square | 1482558016 |
| Cube | 57084413848064 |
| Square root | 196.224361 (= 2√9626) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.8504 × |
38504 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand five hundred and four |
| Binary (base 2) | 1001011001101000 |
| Octal (base 8) | 113150 |
| Hexadecimal (base 16) | 9668 |
| Base 3 | 1221211002 |
| As time | 38504 seconds = 10 h 41 min 44 s |
Is 38504 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38504 ÷ 2 = 19252) | 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 (38504 ÷ 4 = 9626) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 4) | 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 (38504 ÷ 8 = 4813) | 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 4) | 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 38504 a prime number?
No. 38504 = × 4813, so it is divisible by 2.
What are the factors of 38504?
1, 2, 4, 8, 4813, 9626, 19252, 38504.
What is 38504 in binary?
1001011001101000 (hexadecimal 9668, octal 113150).
What is the square root of 38504?
About 196.2244, exactly 2√9626.
Is 38504 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 38504?
It is a composite number with 8 divisors.