The number 82143
82143 is a composite number with 6 divisors. Its prime factorisation is × 9127. Divisors (6): 1, 3, 9, 9127, 27381, 82143.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 82143: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
82143 is composite. Its prime factorisation is
- 3
The divisors add up to 118664; without 82143 itself that is 36521, so 82143 is deficient (36521 is less than 82143). Euler's totient φ(82143) = 54756 numbers up to 82143 share no factor with it.
- 4
The digits of 82143 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 213 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82143 = 3^{2} \times 9127 \]82143 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 118664 |
| Euler totient φ(n) | 54756 |
| Square | 6747472449 |
| Cube | 554257629378207 |
| Square root | 286.606001 (= 3√9127) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 213 |
| Scientific notation | 8.2143 × |
82143 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand one hundred and forty-three |
| Binary (base 2) | 10100000011011111 |
| Octal (base 8) | 240337 |
| Hexadecimal (base 16) | 140DF |
| Base 3 | 11011200100 |
| As time | 82143 seconds = 22 h 49 min 3 s |
Is 82143 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 (82143 ÷ 3 = 27381) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (82143 ÷ 9 = 9127) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82143 a prime number?
No. 82143 = × 9127, so it is divisible by 3.
What are the factors of 82143?
1, 3, 9, 9127, 27381, 82143.
What is 82143 in binary?
10100000011011111 (hexadecimal 140DF, octal 240337).
What is the square root of 82143?
About 286.6060, exactly 3√9127.
Is 82143 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 82143?
82143 is a happy number: repeatedly adding the squares of its digits reaches 1.