The number 80831
80831 is a twin prime (80831 and 80833 are both prime) and the 7912th prime number. Its only divisors are 1 and 80831.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80831: a twin prime (80831 and 80833 are both prime); the 7912th prime number.
- 2
80831 is prime, so its only factors are 1 and 80831. It is the 7912th prime; the next prime is 80833 and the one before is 80819.
- 3
The divisors add up to 80832; without 80831 itself that is 1, so 80831 is deficient (1 is less than 80831). Euler's totient φ(80831) = 80830 numbers up to 80831 share no factor with it.
- 4
The digits of 80831 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 89 steps to reach 1.
80831 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 80832 |
| Euler totient φ(n) | 80830 |
| Square | 6533650561 |
| Cube | 528121508496191 |
| Square root | 284.307932 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.0831 × |
80831 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand eight hundred and thirty-one |
| Binary (base 2) | 10011101110111111 |
| Octal (base 8) | 235677 |
| Hexadecimal (base 16) | 13BBF |
| Base 3 | 11002212202 |
| As time | 80831 seconds = 22 h 27 min 11 s |
Is 80831 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 1) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 80831 a prime number?
Yes. 80831 is divisible only by 1 and itself.
What are the factors of 80831?
1, 80831.
What is 80831 in binary?
10011101110111111 (hexadecimal 13BBF, octal 235677).
What is the square root of 80831?
About 284.3079.
Is 80831 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 80831?
80831 is a twin prime (80831 and 80833 are both prime); the 7912th prime number.