The number 9340
9340 is a composite number with 12 divisors. Its prime factorisation is × 5 × 467. Divisors (12): 1, 2, 4, 5, 10, 20, 467, 934, 1868, 2335, 4670, 9340.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9340 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9340 is composite. Its prime factorisation is
- 3
The divisors add up to 19656; without 9340 itself that is 10316, so 9340 is abundant (10316 is more than 9340). Euler's totient φ(9340) = 3728 numbers up to 9340 share no factor with it.
- 4
The digits of 9340 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9340 = 2^{2} \times 5 \times 467 \]9340 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 19656 |
| Euler totient φ(n) | 3728 |
| Square | 87235600 |
| Cube | 814780504000 |
| Square root | 96.643675 (= 2√2335) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 91 |
| Scientific notation | 9.34 × |
9340 in other forms
| Form | Value |
|---|---|
| In words | nine thousand three hundred and forty |
| Binary (base 2) | 10010001111100 |
| Octal (base 8) | 22174 |
| Hexadecimal (base 16) | 247C |
| Base 3 | 110210221 |
| As time | 9340 seconds = 2 h 35 min 40 s |
Is 9340 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9340 ÷ 2 = 4670) | 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 (9340 ÷ 4 = 2335) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (9340 ÷ 5 = 1868) | 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 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (9340 ÷ 10 = 934) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 9340 a prime number?
No. 9340 = × 5 × 467, so it is divisible by 2.
What are the factors of 9340?
1, 2, 4, 5, 10, 20, 467, 934, 1868, 2335, 4670, 9340.
What is 9340 in binary?
10010001111100 (hexadecimal 247C, octal 22174).
What is the square root of 9340?
About 96.6437, exactly 2√2335.
Is 9340 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 9340?
It is a composite number with 12 divisors.