The number 47843
47843 is the 4932nd prime number. Its only divisors are 1 and 47843.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47843: the 4932nd prime number.
- 2
47843 is prime, so its only factors are 1 and 47843. It is the 4932nd prime; the next prime is 47857 and the one before is 47837.
- 3
The divisors add up to 47844; without 47843 itself that is 1, so 47843 is deficient (1 is less than 47843). Euler's totient φ(47843) = 47842 numbers up to 47843 share no factor with it.
- 4
The digits of 47843 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
47843 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 47844 |
| Euler totient φ(n) | 47842 |
| Square | 2288952649 |
| Cube | 109510361586107 |
| Square root | 218.730428 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7843 × |
47843 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand eight hundred and forty-three |
| Binary (base 2) | 1011101011100011 |
| Octal (base 8) | 135343 |
| Hexadecimal (base 16) | BAE3 |
| Base 3 | 2102121222 |
| As time | 47843 seconds = 13 h 17 min 23 s |
Is 47843 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 3) | 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 5) | 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 8) | 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 4) | 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 47843 a prime number?
Yes. 47843 is divisible only by 1 and itself.
What are the factors of 47843?
1, 47843.
What is 47843 in binary?
1011101011100011 (hexadecimal BAE3, octal 135343).
What is the square root of 47843?
About 218.7304.
Is 47843 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 47843?
47843 is the 4932nd prime number.