The number 9264
9264 is a composite number with 20 divisors. Its prime factorisation is × 3 × 193. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 193, 386, 579, 772, 1158, 1544 … 9264.
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How to work it out
- 1
9264 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9264 is composite. Its prime factorisation is
- 3
The divisors add up to 24056; without 9264 itself that is 14792, so 9264 is abundant (14792 is more than 9264). Euler's totient φ(9264) = 3072 numbers up to 9264 share no factor with it.
- 4
The digits of 9264 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 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9264 = 2^{4} \times 3 \times 193 \]9264 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 24056 |
| Euler totient φ(n) | 3072 |
| Square | 85821696 |
| Cube | 795052191744 |
| Square root | 96.249675 (= 4√579) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 34 |
| Scientific notation | 9.264 × |
9264 in other forms
| Form | Value |
|---|---|
| In words | nine thousand two hundred and sixty-four |
| Binary (base 2) | 10010000110000 |
| Octal (base 8) | 22060 |
| Hexadecimal (base 16) | 2430 |
| Base 3 | 110201010 |
| As time | 9264 seconds = 2 h 34 min 24 s |
Is 9264 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9264 ÷ 2 = 4632) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9264 ÷ 3 = 3088) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9264 ÷ 4 = 2316) | 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 (9264 ÷ 6 = 1544) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (9264 ÷ 8 = 1158) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (9264 ÷ 12 = 772) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9264 a prime number?
No. 9264 = × 3 × 193, so it is divisible by 2.
What are the factors of 9264?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 193, 386, 579, 772, 1158, 1544, 2316, 3088, 4632, 9264.
What is 9264 in binary?
10010000110000 (hexadecimal 2430, octal 22060).
What is the square root of 9264?
About 96.2497, exactly 4√579.
Is 9264 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 9264?
It is a composite number with 20 divisors.