The number 82000
82000 is a composite number with 40 divisors. Its prime factorisation is × × 41. Divisors (40): 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 41, 50, 80, 82, 100, 125 … 82000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 82000: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 10.
- 2
82000 is composite. Its prime factorisation is
- 3
The divisors add up to 203112; without 82000 itself that is 121112, so 82000 is abundant (121112 is more than 82000). Euler's totient φ(82000) = 32000 numbers up to 82000 share no factor with it.
- 4
The digits of 82000 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82000 = 2^{4} \times 5^{3} \times 41 \]82000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 203112 |
| Euler totient φ(n) | 32000 |
| Square | 6724000000 |
| Cube | 551368000000000 |
| Square root | 286.356421 (= 20√205) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 58 |
| Scientific notation | 8.2 × |
82000 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand |
| Binary (base 2) | 10100000001010000 |
| Octal (base 8) | 240120 |
| Hexadecimal (base 16) | 14050 |
| Base 3 | 11011111001 |
| As time | 82000 seconds = 22 h 46 min 40 s |
Is 82000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (82000 ÷ 2 = 41000) | 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 | Yes (82000 ÷ 4 = 20500) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (82000 ÷ 5 = 16400) | 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 | Yes (82000 ÷ 8 = 10250) | 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 (82000 ÷ 10 = 8200) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82000 a prime number?
No. 82000 = × × 41, so it is divisible by 2.
What are the factors of 82000?
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 41, 50, 80, 82, 100, 125, 164, 200, 205, 250, 328, 400, 410, 500, 656, 820, 1000, 1025, 1640, 2000, 2050, 3280, 4100, 5125, 8200, 10250, 16400, 20500, 41000, 82000.
What is 82000 in binary?
10100000001010000 (hexadecimal 14050, octal 240120).
What is the square root of 82000?
About 286.3564, exactly 20√205.
Is 82000 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 82000?
82000 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 10.