The number 82003
82003 is the 8018th prime number. Its only divisors are 1 and 82003.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 82003: the 8018th prime number.
- 2
82003 is prime, so its only factors are 1 and 82003. It is the 8018th prime; the next prime is 82007 and the one before is 81973.
- 3
The divisors add up to 82004; without 82003 itself that is 1, so 82003 is deficient (1 is less than 82003). Euler's totient φ(82003) = 82002 numbers up to 82003 share no factor with it.
- 4
The digits of 82003 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
82003 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 82004 |
| Euler totient φ(n) | 82002 |
| Square | 6724492009 |
| Cube | 551428518214027 |
| Square root | 286.361659 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 107 |
| Scientific notation | 8.2003 × |
82003 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand and three |
| Binary (base 2) | 10100000001010011 |
| Octal (base 8) | 240123 |
| Hexadecimal (base 16) | 14053 |
| Base 3 | 11011111011 |
| As time | 82003 seconds = 22 h 46 min 43 s |
Is 82003 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 1) | 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 1) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82003 a prime number?
Yes. 82003 is divisible only by 1 and itself.
What are the factors of 82003?
1, 82003.
What is 82003 in binary?
10100000001010011 (hexadecimal 14053, octal 240123).
What is the square root of 82003?
About 286.3617.
Is 82003 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 82003?
82003 is the 8018th prime number.