The number 9384
9384 is a composite number with 32 divisors. Its prime factorisation is × 3 × 17 × 23. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 17, 23, 24, 34, 46, 51, 68, 69, 92 … 9384.
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How to work it out
- 1
What is special about 9384: a Harshad number: divisible by its digit sum 24.
- 2
9384 is composite. Its prime factorisation is
- 3
The divisors add up to 25920; without 9384 itself that is 16536, so 9384 is abundant (16536 is more than 9384). Euler's totient φ(9384) = 2816 numbers up to 9384 share no factor with it.
- 4
The digits of 9384 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 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9384 = 2^{3} \times 3 \times 17 \times 23 \]9384 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 25920 |
| Euler totient φ(n) | 2816 |
| Square | 88059456 |
| Cube | 826349935104 |
| Square root | 96.871048 (= 2√2346) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 122 |
| Scientific notation | 9.384 × |
9384 in other forms
| Form | Value |
|---|---|
| In words | nine thousand three hundred and eighty-four |
| Binary (base 2) | 10010010101000 |
| Octal (base 8) | 22250 |
| Hexadecimal (base 16) | 24A8 |
| Base 3 | 110212120 |
| As time | 9384 seconds = 2 h 36 min 24 s |
Is 9384 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9384 ÷ 2 = 4692) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9384 ÷ 3 = 3128) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9384 ÷ 4 = 2346) | 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 | Yes (9384 ÷ 6 = 1564) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (9384 ÷ 8 = 1173) | 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 4) | 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 | Yes (9384 ÷ 12 = 782) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9384 a prime number?
No. 9384 = × 3 × 17 × 23, so it is divisible by 2.
What are the factors of 9384?
1, 2, 3, 4, 6, 8, 12, 17, 23, 24, 34, 46, 51, 68, 69, 92, 102, 136, 138, 184, 204, 276, 391, 408, 552, 782, 1173, 1564, 2346, 3128, 4692, 9384.
What is 9384 in binary?
10010010101000 (hexadecimal 24A8, octal 22250).
What is the square root of 9384?
About 96.8710, exactly 2√2346.
Is 9384 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 9384?
9384 is a Harshad number: divisible by its digit sum 24.