The number 9024
9024 is a composite number with 28 divisors. Its prime factorisation is × 3 × 47. Divisors (28): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 64, 94, 96, 141 … 9024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9024 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9024 is composite. Its prime factorisation is
- 3
The divisors add up to 24384; without 9024 itself that is 15360, so 9024 is abundant (15360 is more than 9024). Euler's totient φ(9024) = 2944 numbers up to 9024 share no factor with it.
- 4
The digits of 9024 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 21 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9024 = 2^{6} \times 3 \times 47 \]9024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 24384 |
| Euler totient φ(n) | 2944 |
| Square | 81432576 |
| Cube | 734847565824 |
| Square root | 94.994737 (= 8√141) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 21 |
| Scientific notation | 9.024 × |
9024 in other forms
| Form | Value |
|---|---|
| In words | nine thousand and twenty-four |
| Binary (base 2) | 10001101000000 |
| Octal (base 8) | 21500 |
| Hexadecimal (base 16) | 2340 |
| Base 3 | 110101020 |
| As time | 9024 seconds = 2 h 30 min 24 s |
Is 9024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9024 ÷ 2 = 4512) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9024 ÷ 3 = 3008) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9024 ÷ 4 = 2256) | 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 (9024 ÷ 6 = 1504) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (9024 ÷ 8 = 1128) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (9024 ÷ 12 = 752) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9024 a prime number?
No. 9024 = × 3 × 47, so it is divisible by 2.
What are the factors of 9024?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 64, 94, 96, 141, 188, 192, 282, 376, 564, 752, 1128, 1504, 2256, 3008, 4512, 9024.
What is 9024 in binary?
10001101000000 (hexadecimal 2340, octal 21500).
What is the square root of 9024?
About 94.9947, exactly 8√141.
Is 9024 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 9024?
It is a composite number with 28 divisors.