The number 24304
24304 is a composite number with 30 divisors. Its prime factorisation is × × 31. Divisors (30): 1, 2, 4, 7, 8, 14, 16, 28, 31, 49, 56, 62, 98, 112, 124, 196 … 24304.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24304 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24304 is composite. Its prime factorisation is
- 3
The divisors add up to 56544; without 24304 itself that is 32240, so 24304 is abundant (32240 is more than 24304). Euler's totient φ(24304) = 10080 numbers up to 24304 share no factor with it.
- 4
The digits of 24304 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 157 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24304 = 2^{4} \times 7^{2} \times 31 \]24304 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 56544 |
| Euler totient φ(n) | 10080 |
| Square | 590684416 |
| Cube | 14355994046464 |
| Square root | 155.897402 (= 28√31) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 157 |
| Scientific notation | 2.4304 × |
24304 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand three hundred and four |
| Binary (base 2) | 101111011110000 |
| Octal (base 8) | 57360 |
| Hexadecimal (base 16) | 5EF0 |
| Base 3 | 1020100011 |
| As time | 24304 seconds = 6 h 45 min 4 s |
Is 24304 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24304 ÷ 2 = 12152) | 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 (24304 ÷ 4 = 6076) | 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 | Yes (24304 ÷ 7 = 3472) | 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 | Yes (24304 ÷ 8 = 3038) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 5) | 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 24304 a prime number?
No. 24304 = × × 31, so it is divisible by 2.
What are the factors of 24304?
1, 2, 4, 7, 8, 14, 16, 28, 31, 49, 56, 62, 98, 112, 124, 196, 217, 248, 392, 434, 496, 784, 868, 1519, 1736, 3038, 3472, 6076, 12152, 24304.
What is 24304 in binary?
101111011110000 (hexadecimal 5EF0, octal 57360).
What is the square root of 24304?
About 155.8974, exactly 28√31.
Is 24304 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 24304?
It is a composite number with 30 divisors.