The number 82713
82713 is a composite number with 8 divisors. Its prime factorisation is 3 × 79 × 349. Divisors (8): 1, 3, 79, 237, 349, 1047, 27571, 82713.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
82713 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
82713 is composite. Its prime factorisation is
- 3
The divisors add up to 112000; without 82713 itself that is 29287, so 82713 is deficient (29287 is less than 82713). Euler's totient φ(82713) = 54288 numbers up to 82713 share no factor with it.
- 4
The digits of 82713 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 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82713 = 3 \times 79 \times 349 \]
82713 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 112000 |
| Euler totient φ(n) | 54288 |
| Square | 6841440369 |
| Cube | 565876057241097 |
| Square root | 287.598679 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 182 |
| Scientific notation | 8.2713 × |
82713 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand seven hundred and thirteen |
| Binary (base 2) | 10100001100011001 |
| Octal (base 8) | 241431 |
| Hexadecimal (base 16) | 14319 |
| Base 3 | 11012110110 |
| As time | 82713 seconds = 22 h 58 min 33 s |
Is 82713 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 (82713 ÷ 3 = 27571) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 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 4) | 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 82713 a prime number?
No. 82713 = 3 × 79 × 349, so it is divisible by 3.
What are the factors of 82713?
1, 3, 79, 237, 349, 1047, 27571, 82713.
What is 82713 in binary?
10100001100011001 (hexadecimal 14319, octal 241431).
What is the square root of 82713?
About 287.5987.
Is 82713 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 82713?
It is a composite number with 8 divisors.