The number 41443
41443 is the 4335th prime number. Its only divisors are 1 and 41443.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41443: the 4335th prime number.
- 2
41443 is prime, so its only factors are 1 and 41443. It is the 4335th prime; the next prime is 41453 and the one before is 41413.
- 3
The divisors add up to 41444; without 41443 itself that is 1, so 41443 is deficient (1 is less than 41443). Euler's totient φ(41443) = 41442 numbers up to 41443 share no factor with it.
- 4
The digits of 41443 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
41443 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 41444 |
| Euler totient φ(n) | 41442 |
| Square | 1717522249 |
| Cube | 71179274565307 |
| Square root | 203.575539 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.1443 × |
41443 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand four hundred and forty-three |
| Binary (base 2) | 1010000111100011 |
| Octal (base 8) | 120743 |
| Hexadecimal (base 16) | A1E3 |
| Base 3 | 2002211221 |
| As time | 41443 seconds = 11 h 30 min 43 s |
Is 41443 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 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 41443 a prime number?
Yes. 41443 is divisible only by 1 and itself.
What are the factors of 41443?
1, 41443.
What is 41443 in binary?
1010000111100011 (hexadecimal A1E3, octal 120743).
What is the square root of 41443?
About 203.5755.
Is 41443 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 41443?
41443 is the 4335th prime number.