The number 82073
82073 is the 8028th prime number. Its only divisors are 1 and 82073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 82073: the 8028th prime number.
- 2
82073 is prime, so its only factors are 1 and 82073. It is the 8028th prime; the next prime is 82129 and the one before is 82067.
- 3
The divisors add up to 82074; without 82073 itself that is 1, so 82073 is deficient (1 is less than 82073). Euler's totient φ(82073) = 82072 numbers up to 82073 share no factor with it.
- 4
The digits of 82073 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
82073 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 82074 |
| Euler totient φ(n) | 82072 |
| Square | 6735977329 |
| Cube | 552841867323017 |
| Square root | 286.483856 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.2073 × |
82073 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand and seventy-three |
| Binary (base 2) | 10100000010011001 |
| Octal (base 8) | 240231 |
| Hexadecimal (base 16) | 14099 |
| Base 3 | 11011120202 |
| As time | 82073 seconds = 22 h 47 min 53 s |
Is 82073 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 2) | 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 82073 a prime number?
Yes. 82073 is divisible only by 1 and itself.
What are the factors of 82073?
1, 82073.
What is 82073 in binary?
10100000010011001 (hexadecimal 14099, octal 240231).
What is the square root of 82073?
About 286.4839.
Is 82073 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 82073?
82073 is the 8028th prime number.