The number 82100
82100 is a composite number with 18 divisors. Its prime factorisation is × × 821. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 100, 821, 1642, 3284, 4105, 8210, 16420, 20525 … 82100.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
82100 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
82100 is composite. Its prime factorisation is
- 3
The divisors add up to 178374; without 82100 itself that is 96274, so 82100 is abundant (96274 is more than 82100). Euler's totient φ(82100) = 32800 numbers up to 82100 share no factor with it.
- 4
The digits of 82100 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 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82100 = 2^{2} \times 5^{2} \times 821 \]82100 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 178374 |
| Euler totient φ(n) | 32800 |
| Square | 6740410000 |
| Cube | 553387661000000 |
| Square root | 286.530976 (= 10√821) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 58 |
| Scientific notation | 8.21 × |
82100 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand one hundred |
| Binary (base 2) | 10100000010110100 |
| Octal (base 8) | 240264 |
| Hexadecimal (base 16) | 140B4 |
| Base 3 | 11011121202 |
| As time | 82100 seconds = 22 h 48 min 20 s |
Is 82100 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (82100 ÷ 2 = 41050) | 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 (82100 ÷ 4 = 20525) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (82100 ÷ 5 = 16420) | 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 4) | 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 4) | 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 (82100 ÷ 10 = 8210) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82100 a prime number?
No. 82100 = × × 821, so it is divisible by 2.
What are the factors of 82100?
1, 2, 4, 5, 10, 20, 25, 50, 100, 821, 1642, 3284, 4105, 8210, 16420, 20525, 41050, 82100.
What is 82100 in binary?
10100000010110100 (hexadecimal 140B4, octal 240264).
What is the square root of 82100?
About 286.5310, exactly 10√821.
Is 82100 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 82100?
It is a composite number with 18 divisors.