The number 9084
9084 is a composite number with 12 divisors. Its prime factorisation is × 3 × 757. Divisors (12): 1, 2, 3, 4, 6, 12, 757, 1514, 2271, 3028, 4542, 9084.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9084 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9084 is composite. Its prime factorisation is
- 3
The divisors add up to 21224; without 9084 itself that is 12140, so 9084 is abundant (12140 is more than 9084). Euler's totient φ(9084) = 3024 numbers up to 9084 share no factor with it.
- 4
The digits of 9084 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9084 = 2^{2} \times 3 \times 757 \]9084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 21224 |
| Euler totient φ(n) | 3024 |
| Square | 82519056 |
| Cube | 749603104704 |
| Square root | 95.310020 (= 2√2271) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 65 |
| Scientific notation | 9.084 × |
9084 in other forms
| Form | Value |
|---|---|
| In words | nine thousand and eighty-four |
| Binary (base 2) | 10001101111100 |
| Octal (base 8) | 21574 |
| Hexadecimal (base 16) | 237C |
| Base 3 | 110110110 |
| As time | 9084 seconds = 2 h 31 min 24 s |
Is 9084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9084 ÷ 2 = 4542) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9084 ÷ 3 = 3028) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9084 ÷ 4 = 2271) | 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 (9084 ÷ 6 = 1514) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (9084 ÷ 12 = 757) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9084 a prime number?
No. 9084 = × 3 × 757, so it is divisible by 2.
What are the factors of 9084?
1, 2, 3, 4, 6, 12, 757, 1514, 2271, 3028, 4542, 9084.
What is 9084 in binary?
10001101111100 (hexadecimal 237C, octal 21574).
What is the square root of 9084?
About 95.3100, exactly 2√2271.
Is 9084 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 9084?
It is a composite number with 12 divisors.