The number 96024
96024 is a composite number with 16 divisors. Its prime factorisation is × 3 × 4001. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 4001, 8002, 12003, 16004, 24006, 32008, 48012, 96024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
96024 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
96024 is composite. Its prime factorisation is
- 3
The divisors add up to 240120; without 96024 itself that is 144096, so 96024 is abundant (144096 is more than 96024). Euler's totient φ(96024) = 32000 numbers up to 96024 share no factor with it.
- 4
The digits of 96024 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 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 96024 = 2^{3} \times 3 \times 4001 \]96024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 240120 |
| Euler totient φ(n) | 32000 |
| Square | 9220608576 |
| Cube | 885399717901824 |
| Square root | 309.877395 (= 2√24006) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 53 |
| Scientific notation | 9.6024 × |
96024 in other forms
| Form | Value |
|---|---|
| In words | ninety-six thousand and twenty-four |
| Binary (base 2) | 10111011100011000 |
| Octal (base 8) | 273430 |
| Hexadecimal (base 16) | 17718 |
| Base 3 | 11212201110 |
| As time | 96024 seconds = 26 h 40 min 24 s |
Is 96024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (96024 ÷ 2 = 48012) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (96024 ÷ 3 = 32008) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (96024 ÷ 4 = 24006) | 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 | Yes (96024 ÷ 6 = 16004) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (96024 ÷ 8 = 12003) | 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 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 | Yes (96024 ÷ 12 = 8002) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 96024 a prime number?
No. 96024 = × 3 × 4001, so it is divisible by 2.
What are the factors of 96024?
1, 2, 3, 4, 6, 8, 12, 24, 4001, 8002, 12003, 16004, 24006, 32008, 48012, 96024.
What is 96024 in binary?
10111011100011000 (hexadecimal 17718, octal 273430).
What is the square root of 96024?
About 309.8774, exactly 2√24006.
Is 96024 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 96024?
It is a composite number with 16 divisors.