The number 9404
9404 is a composite number with 6 divisors. Its prime factorisation is × 2351. Divisors (6): 1, 2, 4, 2351, 4702, 9404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9404 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9404 is composite. Its prime factorisation is
- 3
The divisors add up to 16464; without 9404 itself that is 7060, so 9404 is deficient (7060 is less than 9404). Euler's totient φ(9404) = 4700 numbers up to 9404 share no factor with it.
- 4
The digits of 9404 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9404 = 2^{2} \times 2351 \]9404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 16464 |
| Euler totient φ(n) | 4700 |
| Square | 88435216 |
| Cube | 831644771264 |
| Square root | 96.974223 (= 2√2351) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 60 |
| Scientific notation | 9.404 × |
9404 in other forms
| Form | Value |
|---|---|
| In words | nine thousand four hundred and four |
| Binary (base 2) | 10010010111100 |
| Octal (base 8) | 22274 |
| Hexadecimal (base 16) | 24BC |
| Base 3 | 110220022 |
| As time | 9404 seconds = 2 h 36 min 44 s |
Is 9404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9404 ÷ 2 = 4702) | 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 (9404 ÷ 4 = 2351) | 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 8) | 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 10) | 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 9404 a prime number?
No. 9404 = × 2351, so it is divisible by 2.
What are the factors of 9404?
1, 2, 4, 2351, 4702, 9404.
What is 9404 in binary?
10010010111100 (hexadecimal 24BC, octal 22274).
What is the square root of 9404?
About 96.9742, exactly 2√2351.
Is 9404 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 9404?
It is a composite number with 6 divisors.