The number 24096
24096 is a composite number with 24 divisors. Its prime factorisation is × 3 × 251. Divisors (24): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 251, 502, 753, 1004 … 24096.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24096 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24096 is composite. Its prime factorisation is
- 3
The divisors add up to 63504; without 24096 itself that is 39408, so 24096 is abundant (39408 is more than 24096). Euler's totient φ(24096) = 8000 numbers up to 24096 share no factor with it.
- 4
The digits of 24096 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 25 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24096 = 2^{5} \times 3 \times 251 \]24096 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 63504 |
| Euler totient φ(n) | 8000 |
| Square | 580617216 |
| Cube | 13990552436736 |
| Square root | 155.228863 (= 4√1506) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 25 |
| Scientific notation | 2.4096 × |
24096 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand and ninety-six |
| Binary (base 2) | 101111000100000 |
| Octal (base 8) | 57040 |
| Hexadecimal (base 16) | 5E20 |
| Base 3 | 1020001110 |
| As time | 24096 seconds = 6 h 41 min 36 s |
Is 24096 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24096 ÷ 2 = 12048) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24096 ÷ 3 = 8032) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24096 ÷ 4 = 6024) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (24096 ÷ 6 = 4016) | 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 | Yes (24096 ÷ 8 = 3012) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 | Yes (24096 ÷ 12 = 2008) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24096 a prime number?
No. 24096 = × 3 × 251, so it is divisible by 2.
What are the factors of 24096?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 251, 502, 753, 1004, 1506, 2008, 3012, 4016, 6024, 8032, 12048, 24096.
What is 24096 in binary?
101111000100000 (hexadecimal 5E20, octal 57040).
What is the square root of 24096?
About 155.2289, exactly 4√1506.
Is 24096 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 24096?
It is a composite number with 24 divisors.