The number 80231
80231 is a twin prime (80231 and 80233 are both prime) and the 7856th prime number. Its only divisors are 1 and 80231.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80231: a twin prime (80231 and 80233 are both prime); the 7856th prime number.
- 2
80231 is prime, so its only factors are 1 and 80231. It is the 7856th prime; the next prime is 80233 and the one before is 80221.
- 3
The divisors add up to 80232; without 80231 itself that is 1, so 80231 is deficient (1 is less than 80231). Euler's totient φ(80231) = 80230 numbers up to 80231 share no factor with it.
- 4
The digits of 80231 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 213 steps to reach 1.
80231 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 80232 |
| Euler totient φ(n) | 80230 |
| Square | 6437013361 |
| Cube | 516448018966391 |
| Square root | 283.250772 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 213 |
| Scientific notation | 8.0231 × |
80231 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand two hundred and thirty-one |
| Binary (base 2) | 10011100101100111 |
| Octal (base 8) | 234547 |
| Hexadecimal (base 16) | 13967 |
| Base 3 | 11002001112 |
| As time | 80231 seconds = 22 h 17 min 11 s |
Is 80231 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 4) | 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 5) | 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 8) | 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 80231 a prime number?
Yes. 80231 is divisible only by 1 and itself.
What are the factors of 80231?
1, 80231.
What is 80231 in binary?
10011100101100111 (hexadecimal 13967, octal 234547).
What is the square root of 80231?
About 283.2508.
Is 80231 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 80231?
80231 is a twin prime (80231 and 80233 are both prime); the 7856th prime number.