The number 67231
67231 is the 6700th prime number. Its only divisors are 1 and 67231.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67231: the 6700th prime number.
- 2
67231 is prime, so its only factors are 1 and 67231. It is the 6700th prime; the next prime is 67247 and the one before is 67219.
- 3
The divisors add up to 67232; without 67231 itself that is 1, so 67231 is deficient (1 is less than 67231). Euler's totient φ(67231) = 67230 numbers up to 67231 share no factor with it.
- 4
The digits of 67231 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 174 steps to reach 1.
67231 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67232 |
| Euler totient φ(n) | 67230 |
| Square | 4520007361 |
| Cube | 303884614887391 |
| Square root | 259.289414 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 174 |
| Scientific notation | 6.7231 × |
67231 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand two hundred and thirty-one |
| Binary (base 2) | 10000011010011111 |
| Octal (base 8) | 203237 |
| Hexadecimal (base 16) | 1069F |
| Base 3 | 10102020001 |
| As time | 67231 seconds = 18 h 40 min 31 s |
Is 67231 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 1) | 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 3) | 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 1) | 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 10) | 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 67231 a prime number?
Yes. 67231 is divisible only by 1 and itself.
What are the factors of 67231?
1, 67231.
What is 67231 in binary?
10000011010011111 (hexadecimal 1069F, octal 203237).
What is the square root of 67231?
About 259.2894.
Is 67231 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 67231?
67231 is the 6700th prime number.