The number 9076
9076 is a composite number with 6 divisors. Its prime factorisation is × 2269. Divisors (6): 1, 2, 4, 2269, 4538, 9076.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9076 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9076 is composite. Its prime factorisation is
- 3
The divisors add up to 15890; without 9076 itself that is 6814, so 9076 is deficient (6814 is less than 9076). Euler's totient φ(9076) = 4536 numbers up to 9076 share no factor with it.
- 4
The digits of 9076 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9076 = 2^{2} \times 2269 \]9076 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 15890 |
| Euler totient φ(n) | 4536 |
| Square | 82373776 |
| Cube | 747624390976 |
| Square root | 95.268043 (= 2√2269) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 65 |
| Scientific notation | 9.076 × |
9076 in other forms
| Form | Value |
|---|---|
| In words | nine thousand and seventy-six |
| Binary (base 2) | 10001101110100 |
| Octal (base 8) | 21564 |
| Hexadecimal (base 16) | 2374 |
| Base 3 | 110110011 |
| As time | 9076 seconds = 2 h 31 min 16 s |
Is 9076 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9076 ÷ 2 = 4538) | 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 (9076 ÷ 4 = 2269) | 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 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 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 9076 a prime number?
No. 9076 = × 2269, so it is divisible by 2.
What are the factors of 9076?
1, 2, 4, 2269, 4538, 9076.
What is 9076 in binary?
10001101110100 (hexadecimal 2374, octal 21564).
What is the square root of 9076?
About 95.2680, exactly 2√2269.
Is 9076 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 9076?
It is a composite number with 6 divisors.