The number 42797
42797 is the 4476th prime number. Its only divisors are 1 and 42797.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42797: the 4476th prime number.
- 2
42797 is prime, so its only factors are 1 and 42797. It is the 4476th prime; the next prime is 42821 and the one before is 42793.
- 3
The divisors add up to 42798; without 42797 itself that is 1, so 42797 is deficient (1 is less than 42797). Euler's totient φ(42797) = 42796 numbers up to 42797 share no factor with it.
- 4
The digits of 42797 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
42797 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42798 |
| Euler totient φ(n) | 42796 |
| Square | 1831583209 |
| Cube | 78386266595573 |
| Square root | 206.874358 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 49 |
| Scientific notation | 4.2797 × |
42797 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and ninety-seven |
| Binary (base 2) | 1010011100101101 |
| Octal (base 8) | 123455 |
| Hexadecimal (base 16) | A72D |
| Base 3 | 2011201002 |
| As time | 42797 seconds = 11 h 53 min 17 s |
Is 42797 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 2) | 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 6) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 42797 a prime number?
Yes. 42797 is divisible only by 1 and itself.
What are the factors of 42797?
1, 42797.
What is 42797 in binary?
1010011100101101 (hexadecimal A72D, octal 123455).
What is the square root of 42797?
About 206.8744.
Is 42797 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 42797?
42797 is the 4476th prime number.