The number 8090
8090 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 809. Divisors (8): 1, 2, 5, 10, 809, 1618, 4045, 8090.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8090 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8090 is composite. Its prime factorisation is
- 3
The divisors add up to 14580; without 8090 itself that is 6490, so 8090 is deficient (6490 is less than 8090). Euler's totient φ(8090) = 3232 numbers up to 8090 share no factor with it.
- 4
The digits of 8090 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
\[ 8090 = 2 \times 5 \times 809 \]
8090 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 14580 |
| Euler totient φ(n) | 3232 |
| Square | 65448100 |
| Cube | 529475129000 |
| Square root | 89.944427 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 65 |
| Scientific notation | 8.09 × |
8090 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and ninety |
| Binary (base 2) | 1111110011010 |
| Octal (base 8) | 17632 |
| Hexadecimal (base 16) | 1F9A |
| Base 3 | 102002122 |
| As time | 8090 seconds = 2 h 14 min 50 s |
Is 8090 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8090 ÷ 2 = 4045) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (8090 ÷ 5 = 1618) | 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 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 2) | 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 (8090 ÷ 10 = 809) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8090 a prime number?
No. 8090 = 2 × 5 × 809, so it is divisible by 2.
What are the factors of 8090?
1, 2, 5, 10, 809, 1618, 4045, 8090.
What is 8090 in binary?
1111110011010 (hexadecimal 1F9A, octal 17632).
What is the square root of 8090?
About 89.9444.
Is 8090 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 8090?
It is a composite number with 8 divisors.