The number 12404
12404 is a composite number with 12 divisors. Its prime factorisation is × 7 × 443. Divisors (12): 1, 2, 4, 7, 14, 28, 443, 886, 1772, 3101, 6202, 12404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12404 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12404 is composite. Its prime factorisation is
- 3
The divisors add up to 24864; without 12404 itself that is 12460, so 12404 is abundant (12460 is more than 12404). Euler's totient φ(12404) = 5304 numbers up to 12404 share no factor with it.
- 4
The digits of 12404 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12404 = 2^{2} \times 7 \times 443 \]12404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 24864 |
| Euler totient φ(n) | 5304 |
| Square | 153859216 |
| Cube | 1908469715264 |
| Square root | 111.373246 (= 2√3101) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 156 |
| Scientific notation | 1.2404 × |
12404 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand four hundred and four |
| Binary (base 2) | 11000001110100 |
| Octal (base 8) | 30164 |
| Hexadecimal (base 16) | 3074 |
| Base 3 | 122000102 |
| As time | 12404 seconds = 3 h 26 min 44 s |
Is 12404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12404 ÷ 2 = 6202) | 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 (12404 ÷ 4 = 3101) | 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 | Yes (12404 ÷ 7 = 1772) | 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 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 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 12404 a prime number?
No. 12404 = × 7 × 443, so it is divisible by 2.
What are the factors of 12404?
1, 2, 4, 7, 14, 28, 443, 886, 1772, 3101, 6202, 12404.
What is 12404 in binary?
11000001110100 (hexadecimal 3074, octal 30164).
What is the square root of 12404?
About 111.3732, exactly 2√3101.
Is 12404 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 12404?
It is a composite number with 12 divisors.