The number 38404
38404 is a composite number with 6 divisors. Its prime factorisation is × 9601. Divisors (6): 1, 2, 4, 9601, 19202, 38404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38404 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38404 is composite. Its prime factorisation is
- 3
The divisors add up to 67214; without 38404 itself that is 28810, so 38404 is deficient (28810 is less than 38404). Euler's totient φ(38404) = 19200 numbers up to 38404 share no factor with it.
- 4
The digits of 38404 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
\[ 38404 = 2^{2} \times 9601 \]38404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 67214 |
| Euler totient φ(n) | 19200 |
| Square | 1474867216 |
| Cube | 56640800563264 |
| Square root | 195.969385 (= 2√9601) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.8404 × |
38404 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand four hundred and four |
| Binary (base 2) | 1001011000000100 |
| Octal (base 8) | 113004 |
| Hexadecimal (base 16) | 9604 |
| Base 3 | 1221200101 |
| As time | 38404 seconds = 10 h 40 min 4 s |
Is 38404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38404 ÷ 2 = 19202) | 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 (38404 ÷ 4 = 9601) | 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 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 4) | 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 38404 a prime number?
No. 38404 = × 9601, so it is divisible by 2.
What are the factors of 38404?
1, 2, 4, 9601, 19202, 38404.
What is 38404 in binary?
1001011000000100 (hexadecimal 9604, octal 113004).
What is the square root of 38404?
About 195.9694, exactly 2√9601.
Is 38404 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 38404?
It is a composite number with 6 divisors.