The number 24448
24448 is a composite number with 16 divisors. Its prime factorisation is × 191. Divisors (16): 1, 2, 4, 8, 16, 32, 64, 128, 191, 382, 764, 1528, 3056, 6112, 12224, 24448.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24448 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24448 is composite. Its prime factorisation is
- 3
The divisors add up to 48960; without 24448 itself that is 24512, so 24448 is abundant (24512 is more than 24448). Euler's totient φ(24448) = 12160 numbers up to 24448 share no factor with it.
- 4
The digits of 24448 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24448 = 2^{7} \times 191 \]24448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 48960 |
| Euler totient φ(n) | 12160 |
| Square | 597704704 |
| Cube | 14612684603392 |
| Square root | 156.358562 (= 8√382) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 51 |
| Scientific notation | 2.4448 × |
24448 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand four hundred and forty-eight |
| Binary (base 2) | 101111110000000 |
| Octal (base 8) | 57600 |
| Hexadecimal (base 16) | 5F80 |
| Base 3 | 1020112111 |
| As time | 24448 seconds = 6 h 47 min 28 s |
Is 24448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24448 ÷ 2 = 12224) | 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 (24448 ÷ 4 = 6112) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | No (remainder 4) | 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 (24448 ÷ 8 = 3056) | 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 8) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24448 a prime number?
No. 24448 = × 191, so it is divisible by 2.
What are the factors of 24448?
1, 2, 4, 8, 16, 32, 64, 128, 191, 382, 764, 1528, 3056, 6112, 12224, 24448.
What is 24448 in binary?
101111110000000 (hexadecimal 5F80, octal 57600).
What is the square root of 24448?
About 156.3586, exactly 8√382.
Is 24448 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 24448?
It is a composite number with 16 divisors.