The number 42773
42773 is the 4473rd prime number. Its only divisors are 1 and 42773.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42773: the 4473rd prime number.
- 2
42773 is prime, so its only factors are 1 and 42773. It is the 4473rd prime; the next prime is 42787 and the one before is 42767.
- 3
The divisors add up to 42774; without 42773 itself that is 1, so 42773 is deficient (1 is less than 42773). Euler's totient φ(42773) = 42772 numbers up to 42773 share no factor with it.
- 4
The digits of 42773 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
42773 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42774 |
| Euler totient φ(n) | 42772 |
| Square | 1829529529 |
| Cube | 78254466543917 |
| Square root | 206.816344 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.2773 × |
42773 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and seventy-three |
| Binary (base 2) | 1010011100010101 |
| Octal (base 8) | 123425 |
| Hexadecimal (base 16) | A715 |
| Base 3 | 2011200012 |
| As time | 42773 seconds = 11 h 52 min 53 s |
Is 42773 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 1) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42773 a prime number?
Yes. 42773 is divisible only by 1 and itself.
What are the factors of 42773?
1, 42773.
What is 42773 in binary?
1010011100010101 (hexadecimal A715, octal 123425).
What is the square root of 42773?
About 206.8163.
Is 42773 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 42773?
42773 is the 4473rd prime number.