The number 9344
9344 is a composite number with 16 divisors. Its prime factorisation is × 73. Divisors (16): 1, 2, 4, 8, 16, 32, 64, 73, 128, 146, 292, 584, 1168, 2336, 4672, 9344.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9344 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9344 is composite. Its prime factorisation is
- 3
The divisors add up to 18870; without 9344 itself that is 9526, so 9344 is abundant (9526 is more than 9344). Euler's totient φ(9344) = 4608 numbers up to 9344 share no factor with it.
- 4
The digits of 9344 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9344 = 2^{7} \times 73 \]9344 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 18870 |
| Euler totient φ(n) | 4608 |
| Square | 87310336 |
| Cube | 815827779584 |
| Square root | 96.664368 (= 8√146) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 122 |
| Scientific notation | 9.344 × |
9344 in other forms
| Form | Value |
|---|---|
| In words | nine thousand three hundred and forty-four |
| Binary (base 2) | 10010010000000 |
| Octal (base 8) | 22200 |
| Hexadecimal (base 16) | 2480 |
| Base 3 | 110211002 |
| As time | 9344 seconds = 2 h 35 min 44 s |
Is 9344 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9344 ÷ 2 = 4672) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9344 ÷ 4 = 2336) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (9344 ÷ 8 = 1168) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9344 a prime number?
No. 9344 = × 73, so it is divisible by 2.
What are the factors of 9344?
1, 2, 4, 8, 16, 32, 64, 73, 128, 146, 292, 584, 1168, 2336, 4672, 9344.
What is 9344 in binary?
10010010000000 (hexadecimal 2480, octal 22200).
What is the square root of 9344?
About 96.6644, exactly 8√146.
Is 9344 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 9344?
It is a composite number with 16 divisors.