The number 82007
82007 is a twin prime (82007 and 82009 are both prime) and the 8019th prime number. Its only divisors are 1 and 82007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 82007: a twin prime (82007 and 82009 are both prime); the 8019th prime number.
- 2
82007 is prime, so its only factors are 1 and 82007. It is the 8019th prime; the next prime is 82009 and the one before is 82003.
- 3
The divisors add up to 82008; without 82007 itself that is 1, so 82007 is deficient (1 is less than 82007). Euler's totient φ(82007) = 82006 numbers up to 82007 share no factor with it.
- 4
The digits of 82007 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
82007 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 82008 |
| Euler totient φ(n) | 82006 |
| Square | 6725148049 |
| Cube | 551509216054343 |
| Square root | 286.368644 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 63 |
| Scientific notation | 8.2007 × |
82007 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand and seven |
| Binary (base 2) | 10100000001010111 |
| Octal (base 8) | 240127 |
| Hexadecimal (base 16) | 14057 |
| Base 3 | 11011111022 |
| As time | 82007 seconds = 22 h 46 min 47 s |
Is 82007 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 2) | 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 7) | 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 7) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82007 a prime number?
Yes. 82007 is divisible only by 1 and itself.
What are the factors of 82007?
1, 82007.
What is 82007 in binary?
10100000001010111 (hexadecimal 14057, octal 240127).
What is the square root of 82007?
About 286.3686.
Is 82007 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 82007?
82007 is a twin prime (82007 and 82009 are both prime); the 8019th prime number.