The number 9080
9080 is a composite number with 16 divisors. Its prime factorisation is × 5 × 227. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 227, 454, 908, 1135, 1816, 2270, 4540, 9080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9080 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9080 is composite. Its prime factorisation is
- 3
The divisors add up to 20520; without 9080 itself that is 11440, so 9080 is abundant (11440 is more than 9080). Euler's totient φ(9080) = 3616 numbers up to 9080 share no factor with it.
- 4
The digits of 9080 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9080 = 2^{3} \times 5 \times 227 \]9080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 20520 |
| Euler totient φ(n) | 3616 |
| Square | 82446400 |
| Cube | 748613312000 |
| Square root | 95.289034 (= 2√2270) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 65 |
| Scientific notation | 9.08 × |
9080 in other forms
| Form | Value |
|---|---|
| In words | nine thousand and eighty |
| Binary (base 2) | 10001101111000 |
| Octal (base 8) | 21570 |
| Hexadecimal (base 16) | 2378 |
| Base 3 | 110110022 |
| As time | 9080 seconds = 2 h 31 min 20 s |
Is 9080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9080 ÷ 2 = 4540) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9080 ÷ 4 = 2270) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (9080 ÷ 5 = 1816) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (9080 ÷ 8 = 1135) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (9080 ÷ 10 = 908) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9080 a prime number?
No. 9080 = × 5 × 227, so it is divisible by 2.
What are the factors of 9080?
1, 2, 4, 5, 8, 10, 20, 40, 227, 454, 908, 1135, 1816, 2270, 4540, 9080.
What is 9080 in binary?
10001101111000 (hexadecimal 2378, octal 21570).
What is the square root of 9080?
About 95.2890, exactly 2√2270.
Is 9080 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 9080?
It is a composite number with 16 divisors.