The number 42743
42743 is the 4470th prime number. Its only divisors are 1 and 42743.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42743: the 4470th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42743 is prime, so its only factors are 1 and 42743. It is the 4470th prime; the next prime is 42751 and the one before is 42737.
- 3
The divisors add up to 42744; without 42743 itself that is 1, so 42743 is deficient (1 is less than 42743). Euler's totient φ(42743) = 42742 numbers up to 42743 share no factor with it.
- 4
The digits of 42743 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
42743 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42744 |
| Euler totient φ(n) | 42742 |
| Square | 1826964049 |
| Cube | 78089924346407 |
| Square root | 206.743803 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.2743 × |
42743 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and forty-three |
| Binary (base 2) | 1010011011110111 |
| Octal (base 8) | 123367 |
| Hexadecimal (base 16) | A6F7 |
| Base 3 | 2011122002 |
| As time | 42743 seconds = 11 h 52 min 23 s |
Is 42743 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 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 42743 a prime number?
Yes. 42743 is divisible only by 1 and itself.
What are the factors of 42743?
1, 42743.
What is 42743 in binary?
1010011011110111 (hexadecimal A6F7, octal 123367).
What is the square root of 42743?
About 206.7438.
Is 42743 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 42743?
42743 is the 4470th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.