The number 8290
8290 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 829. Divisors (8): 1, 2, 5, 10, 829, 1658, 4145, 8290.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8290 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8290 is composite. Its prime factorisation is
- 3
The divisors add up to 14940; without 8290 itself that is 6650, so 8290 is deficient (6650 is less than 8290). Euler's totient φ(8290) = 3312 numbers up to 8290 share no factor with it.
- 4
The digits of 8290 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8290 = 2 \times 5 \times 829 \]
8290 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 14940 |
| Euler totient φ(n) | 3312 |
| Square | 68724100 |
| Cube | 569722789000 |
| Square root | 91.049437 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 39 |
| Scientific notation | 8.29 × |
8290 in other forms
| Form | Value |
|---|---|
| In words | eight thousand two hundred and ninety |
| Binary (base 2) | 10000001100010 |
| Octal (base 8) | 20142 |
| Hexadecimal (base 16) | 2062 |
| Base 3 | 102101001 |
| As time | 8290 seconds = 2 h 18 min 10 s |
Is 8290 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8290 ÷ 2 = 4145) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (8290 ÷ 5 = 1658) | 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 2) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (8290 ÷ 10 = 829) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8290 a prime number?
No. 8290 = 2 × 5 × 829, so it is divisible by 2.
What are the factors of 8290?
1, 2, 5, 10, 829, 1658, 4145, 8290.
What is 8290 in binary?
10000001100010 (hexadecimal 2062, octal 20142).
What is the square root of 8290?
About 91.0494.
Is 8290 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 8290?
It is a composite number with 8 divisors.