The number 9564
9564 is a composite number with 12 divisors. Its prime factorisation is × 3 × 797. Divisors (12): 1, 2, 3, 4, 6, 12, 797, 1594, 2391, 3188, 4782, 9564.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9564 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9564 is composite. Its prime factorisation is
- 3
The divisors add up to 22344; without 9564 itself that is 12780, so 9564 is abundant (12780 is more than 9564). Euler's totient φ(9564) = 3184 numbers up to 9564 share no factor with it.
- 4
The digits of 9564 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9564 = 2^{2} \times 3 \times 797 \]9564 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 22344 |
| Euler totient φ(n) | 3184 |
| Square | 91470096 |
| Cube | 874819998144 |
| Square root | 97.795705 (= 2√2391) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 122 |
| Scientific notation | 9.564 × |
9564 in other forms
| Form | Value |
|---|---|
| In words | nine thousand five hundred and sixty-four |
| Binary (base 2) | 10010101011100 |
| Octal (base 8) | 22534 |
| Hexadecimal (base 16) | 255C |
| Base 3 | 111010020 |
| As time | 9564 seconds = 2 h 39 min 24 s |
Is 9564 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9564 ÷ 2 = 4782) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9564 ÷ 3 = 3188) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9564 ÷ 4 = 2391) | 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 (9564 ÷ 6 = 1594) | 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 | No (remainder 4) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (9564 ÷ 12 = 797) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9564 a prime number?
No. 9564 = × 3 × 797, so it is divisible by 2.
What are the factors of 9564?
1, 2, 3, 4, 6, 12, 797, 1594, 2391, 3188, 4782, 9564.
What is 9564 in binary?
10010101011100 (hexadecimal 255C, octal 22534).
What is the square root of 9564?
About 97.7957, exactly 2√2391.
Is 9564 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 9564?
It is a composite number with 12 divisors.