The number 9348
9348 is a composite number with 24 divisors. Its prime factorisation is × 3 × 19 × 41. Divisors (24): 1, 2, 3, 4, 6, 12, 19, 38, 41, 57, 76, 82, 114, 123, 164, 228 … 9348.
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How to work it out
- 1
9348 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9348 is composite. Its prime factorisation is
- 3
The divisors add up to 23520; without 9348 itself that is 14172, so 9348 is abundant (14172 is more than 9348). Euler's totient φ(9348) = 2880 numbers up to 9348 share no factor with it.
- 4
The digits of 9348 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 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9348 = 2^{2} \times 3 \times 19 \times 41 \]9348 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 23520 |
| Euler totient φ(n) | 2880 |
| Square | 87385104 |
| Cube | 816875952192 |
| Square root | 96.685056 (= 2√2337) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 60 |
| Scientific notation | 9.348 × |
9348 in other forms
| Form | Value |
|---|---|
| In words | nine thousand three hundred and forty-eight |
| Binary (base 2) | 10010010000100 |
| Octal (base 8) | 22204 |
| Hexadecimal (base 16) | 2484 |
| Base 3 | 110211020 |
| As time | 9348 seconds = 2 h 35 min 48 s |
Is 9348 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9348 ÷ 2 = 4674) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9348 ÷ 3 = 3116) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9348 ÷ 4 = 2337) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (9348 ÷ 6 = 1558) | 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 | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (9348 ÷ 12 = 779) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9348 a prime number?
No. 9348 = × 3 × 19 × 41, so it is divisible by 2.
What are the factors of 9348?
1, 2, 3, 4, 6, 12, 19, 38, 41, 57, 76, 82, 114, 123, 164, 228, 246, 492, 779, 1558, 2337, 3116, 4674, 9348.
What is 9348 in binary?
10010010000100 (hexadecimal 2484, octal 22204).
What is the square root of 9348?
About 96.6851, exactly 2√2337.
Is 9348 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 9348?
It is a composite number with 24 divisors.