The number 8210
8210 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 821. Divisors (8): 1, 2, 5, 10, 821, 1642, 4105, 8210.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8210 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8210 is composite. Its prime factorisation is
- 3
The divisors add up to 14796; without 8210 itself that is 6586, so 8210 is deficient (6586 is less than 8210). Euler's totient φ(8210) = 3280 numbers up to 8210 share no factor with it.
- 4
The digits of 8210 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8210 = 2 \times 5 \times 821 \]
8210 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 14796 |
| Euler totient φ(n) | 3280 |
| Square | 67404100 |
| Cube | 553387661000 |
| Square root | 90.609050 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 158 |
| Scientific notation | 8.21 × |
8210 in other forms
| Form | Value |
|---|---|
| In words | eight thousand two hundred and ten |
| Binary (base 2) | 10000000010010 |
| Octal (base 8) | 20022 |
| Hexadecimal (base 16) | 2012 |
| Base 3 | 102021002 |
| As time | 8210 seconds = 2 h 16 min 50 s |
Is 8210 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8210 ÷ 2 = 4105) | 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 (8210 ÷ 5 = 1642) | 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 6) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (8210 ÷ 10 = 821) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 8210 a prime number?
No. 8210 = 2 × 5 × 821, so it is divisible by 2.
What are the factors of 8210?
1, 2, 5, 10, 821, 1642, 4105, 8210.
What is 8210 in binary?
10000000010010 (hexadecimal 2012, octal 20022).
What is the square root of 8210?
About 90.6091.
Is 8210 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 8210?
It is a composite number with 8 divisors.