The number 82837
82837 is the 8096th prime number. Its only divisors are 1 and 82837.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 82837: the 8096th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
82837 is prime, so its only factors are 1 and 82837. It is the 8096th prime; the next prime is 82847 and the one before is 82813.
- 3
The divisors add up to 82838; without 82837 itself that is 1, so 82837 is deficient (1 is less than 82837). Euler's totient φ(82837) = 82836 numbers up to 82837 share no factor with it.
- 4
The digits of 82837 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
82837 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 82838 |
| Euler totient φ(n) | 82836 |
| Square | 6861968569 |
| Cube | 568424890350253 |
| Square root | 287.814176 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 58 |
| Scientific notation | 8.2837 × |
82837 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand eight hundred and thirty-seven |
| Binary (base 2) | 10100001110010101 |
| Octal (base 8) | 241625 |
| Hexadecimal (base 16) | 14395 |
| Base 3 | 11012122001 |
| As time | 82837 seconds = 23 h 0 min 37 s |
Is 82837 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82837 a prime number?
Yes. 82837 is divisible only by 1 and itself.
What are the factors of 82837?
1, 82837.
What is 82837 in binary?
10100001110010101 (hexadecimal 14395, octal 241625).
What is the square root of 82837?
About 287.8142.
Is 82837 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 82837?
82837 is the 8096th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.