The number 82089
82089 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1303. Divisors (12): 1, 3, 7, 9, 21, 63, 1303, 3909, 9121, 11727, 27363, 82089.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
82089 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
82089 is composite. Its prime factorisation is
- 3
The divisors add up to 135616; without 82089 itself that is 53527, so 82089 is deficient (53527 is less than 82089). Euler's totient φ(82089) = 46872 numbers up to 82089 share no factor with it.
- 4
The digits of 82089 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82089 = 3^{2} \times 7 \times 1303 \]82089 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 135616 |
| Euler totient φ(n) | 46872 |
| Square | 6738603921 |
| Cube | 553165257270969 |
| Square root | 286.511780 (= 3√9121) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 182 |
| Scientific notation | 8.2089 × |
82089 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand and eighty-nine |
| Binary (base 2) | 10100000010101001 |
| Octal (base 8) | 240251 |
| Hexadecimal (base 16) | 140A9 |
| Base 3 | 11011121100 |
| As time | 82089 seconds = 22 h 48 min 9 s |
Is 82089 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (82089 ÷ 3 = 27363) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (82089 ÷ 7 = 11727) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (82089 ÷ 9 = 9121) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82089 a prime number?
No. 82089 = × 7 × 1303, so it is divisible by 3.
What are the factors of 82089?
1, 3, 7, 9, 21, 63, 1303, 3909, 9121, 11727, 27363, 82089.
What is 82089 in binary?
10100000010101001 (hexadecimal 140A9, octal 240251).
What is the square root of 82089?
About 286.5118, exactly 3√9121.
Is 82089 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 82089?
It is a composite number with 12 divisors.