The number 41231
41231 is a twin prime (41231 and 41233 are both prime) and the 4317th prime number. Its only divisors are 1 and 41231.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41231: a twin prime (41231 and 41233 are both prime); the 4317th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
41231 is prime, so its only factors are 1 and 41231. It is the 4317th prime; the next prime is 41233 and the one before is 41227.
- 3
The divisors add up to 41232; without 41231 itself that is 1, so 41231 is deficient (1 is less than 41231). Euler's totient φ(41231) = 41230 numbers up to 41231 share no factor with it.
- 4
The digits of 41231 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 212 steps to reach 1.
41231 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 41232 |
| Euler totient φ(n) | 41230 |
| Square | 1699995361 |
| Cube | 70092508729391 |
| Square root | 203.054180 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 212 |
| Scientific notation | 4.1231 × |
41231 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand two hundred and thirty-one |
| Binary (base 2) | 1010000100001111 |
| Octal (base 8) | 120417 |
| Hexadecimal (base 16) | A10F |
| Base 3 | 2002120002 |
| As time | 41231 seconds = 11 h 27 min 11 s |
Is 41231 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 1) | 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 41231 a prime number?
Yes. 41231 is divisible only by 1 and itself.
What are the factors of 41231?
1, 41231.
What is 41231 in binary?
1010000100001111 (hexadecimal A10F, octal 120417).
What is the square root of 41231?
About 203.0542.
Is 41231 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 41231?
41231 is a twin prime (41231 and 41233 are both prime); the 4317th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.