The number 82443
82443 is a composite number with 4 divisors. Its prime factorisation is 3 × 27481. Divisors (4): 1, 3, 27481, 82443.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 82443: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 27481, the product of two primes.
- 2
82443 is composite. Its prime factorisation is
- 3
The divisors add up to 109928; without 82443 itself that is 27485, so 82443 is deficient (27485 is less than 82443). Euler's totient φ(82443) = 54960 numbers up to 82443 share no factor with it.
- 4
The digits of 82443 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 195 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82443 = 3 \times 27481 \]
82443 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 109928 |
| Euler totient φ(n) | 54960 |
| Square | 6796848249 |
| Cube | 560352560192307 |
| Square root | 287.128891 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 195 |
| Scientific notation | 8.2443 × |
82443 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand four hundred and forty-three |
| Binary (base 2) | 10100001000001011 |
| Octal (base 8) | 241013 |
| Hexadecimal (base 16) | 1420B |
| Base 3 | 11012002110 |
| As time | 82443 seconds = 22 h 54 min 3 s |
Is 82443 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 (82443 ÷ 3 = 27481) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 9) | 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 82443 a prime number?
No. 82443 = 3 × 27481, so it is divisible by 3.
What are the factors of 82443?
1, 3, 27481, 82443.
What is 82443 in binary?
10100001000001011 (hexadecimal 1420B, octal 241013).
What is the square root of 82443?
About 287.1289.
Is 82443 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 82443?
82443 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 27481, the product of two primes.