The number 24768
24768 is a composite number with 42 divisors. Its prime factorisation is × × 43. Divisors (42): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 43, 48, 64 … 24768.
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How to work it out
- 1
24768 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24768 is composite. Its prime factorisation is
- 3
The divisors add up to 72644; without 24768 itself that is 47876, so 24768 is abundant (47876 is more than 24768). Euler's totient φ(24768) = 8064 numbers up to 24768 share no factor with it.
- 4
The digits of 24768 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24768 = 2^{6} \times 3^{2} \times 43 \]24768 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 42 |
| Sum of divisors | 72644 |
| Euler totient φ(n) | 8064 |
| Square | 613453824 |
| Cube | 15194024312832 |
| Square root | 157.378525 (= 24√43) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 126 |
| Scientific notation | 2.4768 × |
24768 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand seven hundred and sixty-eight |
| Binary (base 2) | 110000011000000 |
| Octal (base 8) | 60300 |
| Hexadecimal (base 16) | 60C0 |
| Base 3 | 1020222100 |
| As time | 24768 seconds = 6 h 52 min 48 s |
Is 24768 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24768 ÷ 2 = 12384) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24768 ÷ 3 = 8256) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24768 ÷ 4 = 6192) | 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 | Yes (24768 ÷ 6 = 4128) | 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 (24768 ÷ 8 = 3096) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (24768 ÷ 9 = 2752) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (24768 ÷ 12 = 2064) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24768 a prime number?
No. 24768 = × × 43, so it is divisible by 2.
What are the factors of 24768?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 43, 48, 64, 72, 86, 96, 129, 144, 172, 192, 258, 288, 344, 387, 516, 576, 688, 774, 1032, 1376, 1548, 2064, 2752, 3096, 4128, 6192, 8256, 12384, 24768.
What is 24768 in binary?
110000011000000 (hexadecimal 60C0, octal 60300).
What is the square root of 24768?
About 157.3785, exactly 24√43.
Is 24768 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 24768?
It is a composite number with 42 divisors.