The number 8202
8202 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 1367. Divisors (8): 1, 2, 3, 6, 1367, 2734, 4101, 8202.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8202 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8202 is composite. Its prime factorisation is
- 3
The divisors add up to 16416; without 8202 itself that is 8214, so 8202 is abundant (8214 is more than 8202). Euler's totient φ(8202) = 2732 numbers up to 8202 share no factor with it.
- 4
The digits of 8202 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8202 = 2 \times 3 \times 1367 \]
8202 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 16416 |
| Euler totient φ(n) | 2732 |
| Square | 67272804 |
| Cube | 551771538408 |
| Square root | 90.564894 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 39 |
| Scientific notation | 8.202 × |
8202 in other forms
| Form | Value |
|---|---|
| In words | eight thousand two hundred and two |
| Binary (base 2) | 10000000001010 |
| Octal (base 8) | 20012 |
| Hexadecimal (base 16) | 200A |
| Base 3 | 102020210 |
| As time | 8202 seconds = 2 h 16 min 42 s |
Is 8202 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8202 ÷ 2 = 4101) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8202 ÷ 3 = 2734) | 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 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (8202 ÷ 6 = 1367) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8202 a prime number?
No. 8202 = 2 × 3 × 1367, so it is divisible by 2.
What are the factors of 8202?
1, 2, 3, 6, 1367, 2734, 4101, 8202.
What is 8202 in binary?
10000000001010 (hexadecimal 200A, octal 20012).
What is the square root of 8202?
About 90.5649.
Is 8202 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 8202?
It is a composite number with 8 divisors.