The number 40231
40231 is the 4225th prime number. Its only divisors are 1 and 40231.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40231: the 4225th prime number.
- 2
40231 is prime, so its only factors are 1 and 40231. It is the 4225th prime; the next prime is 40237 and the one before is 40213.
- 3
The divisors add up to 40232; without 40231 itself that is 1, so 40231 is deficient (1 is less than 40231). Euler's totient φ(40231) = 40230 numbers up to 40231 share no factor with it.
- 4
The digits of 40231 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
40231 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 40232 |
| Euler totient φ(n) | 40230 |
| Square | 1618533361 |
| Cube | 65115215646391 |
| Square root | 200.576669 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.0231 × |
40231 in other forms
| Form | Value |
|---|---|
| In words | forty thousand two hundred and thirty-one |
| Binary (base 2) | 1001110100100111 |
| Octal (base 8) | 116447 |
| Hexadecimal (base 16) | 9D27 |
| Base 3 | 2001012001 |
| As time | 40231 seconds = 11 h 10 min 31 s |
Is 40231 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 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 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 4) | 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 40231 a prime number?
Yes. 40231 is divisible only by 1 and itself.
What are the factors of 40231?
1, 40231.
What is 40231 in binary?
1001110100100111 (hexadecimal 9D27, octal 116447).
What is the square root of 40231?
About 200.5767.
Is 40231 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 40231?
40231 is the 4225th prime number.