The number 82673
82673 is a composite number with 4 divisors. Its prime factorisation is 47 × 1759. Divisors (4): 1, 47, 1759, 82673.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 82673: a semiprime: 47 × 1759, the product of two primes.
- 2
82673 is composite. Its prime factorisation is
- 3
The divisors add up to 84480; without 82673 itself that is 1807, so 82673 is deficient (1807 is less than 82673). Euler's totient φ(82673) = 80868 numbers up to 82673 share no factor with it.
- 4
The digits of 82673 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82673 = 47 \times 1759 \]
82673 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 84480 |
| Euler totient φ(n) | 80868 |
| Square | 6834824929 |
| Cube | 565055481355217 |
| Square root | 287.529129 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 58 |
| Scientific notation | 8.2673 × |
82673 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand six hundred and seventy-three |
| Binary (base 2) | 10100001011110001 |
| Octal (base 8) | 241361 |
| Hexadecimal (base 16) | 142F1 |
| Base 3 | 11012101222 |
| As time | 82673 seconds = 22 h 57 min 53 s |
Is 82673 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 | No (remainder 2) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | No (remainder 8) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82673 a prime number?
No. 82673 = 47 × 1759, so it is divisible by 47.
What are the factors of 82673?
1, 47, 1759, 82673.
What is 82673 in binary?
10100001011110001 (hexadecimal 142F1, octal 241361).
What is the square root of 82673?
About 287.5291.
Is 82673 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 82673?
82673 is a semiprime: 47 × 1759, the product of two primes.