The number 9364
9364 is a composite number with 6 divisors. Its prime factorisation is × 2341. Divisors (6): 1, 2, 4, 2341, 4682, 9364.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9364 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9364 is composite. Its prime factorisation is
- 3
The divisors add up to 16394; without 9364 itself that is 7030, so 9364 is deficient (7030 is less than 9364). Euler's totient φ(9364) = 4680 numbers up to 9364 share no factor with it.
- 4
The digits of 9364 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9364 = 2^{2} \times 2341 \]9364 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 16394 |
| Euler totient φ(n) | 4680 |
| Square | 87684496 |
| Cube | 821077620544 |
| Square root | 96.767763 (= 2√2341) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 60 |
| Scientific notation | 9.364 × |
9364 in other forms
| Form | Value |
|---|---|
| In words | nine thousand three hundred and sixty-four |
| Binary (base 2) | 10010010010100 |
| Octal (base 8) | 22224 |
| Hexadecimal (base 16) | 2494 |
| Base 3 | 110211211 |
| As time | 9364 seconds = 2 h 36 min 4 s |
Is 9364 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9364 ÷ 2 = 4682) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9364 ÷ 4 = 2341) | 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 | No (remainder 4) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9364 a prime number?
No. 9364 = × 2341, so it is divisible by 2.
What are the factors of 9364?
1, 2, 4, 2341, 4682, 9364.
What is 9364 in binary?
10010010010100 (hexadecimal 2494, octal 22224).
What is the square root of 9364?
About 96.7678, exactly 2√2341.
Is 9364 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 9364?
It is a composite number with 6 divisors.