The number 24404
24404 is a composite number with 6 divisors. Its prime factorisation is × 6101. Divisors (6): 1, 2, 4, 6101, 12202, 24404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24404 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24404 is composite. Its prime factorisation is
- 3
The divisors add up to 42714; without 24404 itself that is 18310, so 24404 is deficient (18310 is less than 24404). Euler's totient φ(24404) = 12200 numbers up to 24404 share no factor with it.
- 4
The digits of 24404 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 113 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24404 = 2^{2} \times 6101 \]24404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 42714 |
| Euler totient φ(n) | 12200 |
| Square | 595555216 |
| Cube | 14533929491264 |
| Square root | 156.217797 (= 2√6101) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 113 |
| Scientific notation | 2.4404 × |
24404 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand four hundred and four |
| Binary (base 2) | 101111101010100 |
| Octal (base 8) | 57524 |
| Hexadecimal (base 16) | 5F54 |
| Base 3 | 1020110212 |
| As time | 24404 seconds = 6 h 46 min 44 s |
Is 24404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24404 ÷ 2 = 12202) | 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 (24404 ÷ 4 = 6101) | 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 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 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 6) | 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 24404 a prime number?
No. 24404 = × 6101, so it is divisible by 2.
What are the factors of 24404?
1, 2, 4, 6101, 12202, 24404.
What is 24404 in binary?
101111101010100 (hexadecimal 5F54, octal 57524).
What is the square root of 24404?
About 156.2178, exactly 2√6101.
Is 24404 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 24404?
It is a composite number with 6 divisors.