The number 9376
9376 is a composite number with 12 divisors. Its prime factorisation is × 293. Divisors (12): 1, 2, 4, 8, 16, 32, 293, 586, 1172, 2344, 4688, 9376.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9376 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9376 is composite. Its prime factorisation is
- 3
The divisors add up to 18522; without 9376 itself that is 9146, so 9376 is deficient (9146 is less than 9376). Euler's totient φ(9376) = 4672 numbers up to 9376 share no factor with it.
- 4
The digits of 9376 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9376 = 2^{5} \times 293 \]9376 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 18522 |
| Euler totient φ(n) | 4672 |
| Square | 87909376 |
| Cube | 824238309376 |
| Square root | 96.829747 (= 4√586) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 122 |
| Scientific notation | 9.376 × |
9376 in other forms
| Form | Value |
|---|---|
| In words | nine thousand three hundred and seventy-six |
| Binary (base 2) | 10010010100000 |
| Octal (base 8) | 22240 |
| Hexadecimal (base 16) | 24A0 |
| Base 3 | 110212021 |
| As time | 9376 seconds = 2 h 36 min 16 s |
Is 9376 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9376 ÷ 2 = 4688) | 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 (9376 ÷ 4 = 2344) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 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 (9376 ÷ 8 = 1172) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9376 a prime number?
No. 9376 = × 293, so it is divisible by 2.
What are the factors of 9376?
1, 2, 4, 8, 16, 32, 293, 586, 1172, 2344, 4688, 9376.
What is 9376 in binary?
10010010100000 (hexadecimal 24A0, octal 22240).
What is the square root of 9376?
About 96.8297, exactly 4√586.
Is 9376 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 9376?
It is a composite number with 12 divisors.