The number 38804
38804 is a composite number with 12 divisors. Its prime factorisation is × 89 × 109. Divisors (12): 1, 2, 4, 89, 109, 178, 218, 356, 436, 9701, 19402, 38804.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38804 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38804 is composite. Its prime factorisation is
- 3
The divisors add up to 69300; without 38804 itself that is 30496, so 38804 is deficient (30496 is less than 38804). Euler's totient φ(38804) = 19008 numbers up to 38804 share no factor with it.
- 4
The digits of 38804 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 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38804 = 2^{2} \times 89 \times 109 \]38804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 69300 |
| Euler totient φ(n) | 19008 |
| Square | 1505750416 |
| Cube | 58429139142464 |
| Square root | 196.987309 (= 2√9701) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.8804 × |
38804 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand eight hundred and four |
| Binary (base 2) | 1001011110010100 |
| Octal (base 8) | 113624 |
| Hexadecimal (base 16) | 9794 |
| Base 3 | 1222020012 |
| As time | 38804 seconds = 10 h 46 min 44 s |
Is 38804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38804 ÷ 2 = 19402) | 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 (38804 ÷ 4 = 9701) | 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 3) | 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 5) | 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 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 38804 a prime number?
No. 38804 = × 89 × 109, so it is divisible by 2.
What are the factors of 38804?
1, 2, 4, 89, 109, 178, 218, 356, 436, 9701, 19402, 38804.
What is 38804 in binary?
1001011110010100 (hexadecimal 9794, octal 113624).
What is the square root of 38804?
About 196.9873, exactly 2√9701.
Is 38804 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 38804?
It is a composite number with 12 divisors.