The number 82809
82809 is a composite number with 8 divisors. Its prime factorisation is × 3067. Divisors (8): 1, 3, 9, 27, 3067, 9201, 27603, 82809.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 82809: a Harshad number: divisible by its digit sum 27.
- 2
82809 is composite. Its prime factorisation is
- 3
The divisors add up to 122720; without 82809 itself that is 39911, so 82809 is deficient (39911 is less than 82809). Euler's totient φ(82809) = 55188 numbers up to 82809 share no factor with it.
- 4
The digits of 82809 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 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82809 = 3^{3} \times 3067 \]82809 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 122720 |
| Euler totient φ(n) | 55188 |
| Square | 6857330481 |
| Cube | 567848679801129 |
| Square root | 287.765530 (= 3√9201) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.2809 × |
82809 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand eight hundred and nine |
| Binary (base 2) | 10100001101111001 |
| Octal (base 8) | 241571 |
| Hexadecimal (base 16) | 14379 |
| Base 3 | 11012121000 |
| As time | 82809 seconds = 23 h 0 min 9 s |
Is 82809 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 (82809 ÷ 3 = 27603) | 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 | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (82809 ÷ 9 = 9201) | 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 1) | 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 82809 a prime number?
No. 82809 = × 3067, so it is divisible by 3.
What are the factors of 82809?
1, 3, 9, 27, 3067, 9201, 27603, 82809.
What is 82809 in binary?
10100001101111001 (hexadecimal 14379, octal 241571).
What is the square root of 82809?
About 287.7655, exactly 3√9201.
Is 82809 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 82809?
82809 is a Harshad number: divisible by its digit sum 27.