The number 47743
47743 is a twin prime (47741 and 47743 are both prime) and the 4923rd prime number. Its only divisors are 1 and 47743.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47743: a twin prime (47741 and 47743 are both prime); the 4923rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47743 is prime, so its only factors are 1 and 47743. It is the 4923rd prime; the next prime is 47777 and the one before is 47741.
- 3
The divisors add up to 47744; without 47743 itself that is 1, so 47743 is deficient (1 is less than 47743). Euler's totient φ(47743) = 47742 numbers up to 47743 share no factor with it.
- 4
The digits of 47743 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 220 steps to reach 1.
47743 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 47744 |
| Euler totient φ(n) | 47742 |
| Square | 2279394049 |
| Cube | 108825110081407 |
| Square root | 218.501716 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 220 |
| Scientific notation | 4.7743 × |
47743 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred and forty-three |
| Binary (base 2) | 1011101001111111 |
| Octal (base 8) | 135177 |
| Hexadecimal (base 16) | BA7F |
| Base 3 | 2102111021 |
| As time | 47743 seconds = 13 h 15 min 43 s |
Is 47743 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 7) | 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 3) | 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 47743 a prime number?
Yes. 47743 is divisible only by 1 and itself.
What are the factors of 47743?
1, 47743.
What is 47743 in binary?
1011101001111111 (hexadecimal BA7F, octal 135177).
What is the square root of 47743?
About 218.5017.
Is 47743 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 47743?
47743 is a twin prime (47741 and 47743 are both prime); the 4923rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.