The number 42793
42793 is the 4475th prime number. Its only divisors are 1 and 42793.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42793: the 4475th prime number.
- 2
42793 is prime, so its only factors are 1 and 42793. It is the 4475th prime; the next prime is 42797 and the one before is 42787.
- 3
The divisors add up to 42794; without 42793 itself that is 1, so 42793 is deficient (1 is less than 42793). Euler's totient φ(42793) = 42792 numbers up to 42793 share no factor with it.
- 4
The digits of 42793 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 101 steps to reach 1.
42793 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42794 |
| Euler totient φ(n) | 42792 |
| Square | 1831240849 |
| Cube | 78364289651257 |
| Square root | 206.864690 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.2793 × |
42793 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and ninety-three |
| Binary (base 2) | 1010011100101001 |
| Octal (base 8) | 123451 |
| Hexadecimal (base 16) | A729 |
| Base 3 | 2011200221 |
| As time | 42793 seconds = 11 h 53 min 13 s |
Is 42793 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 1) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42793 a prime number?
Yes. 42793 is divisible only by 1 and itself.
What are the factors of 42793?
1, 42793.
What is 42793 in binary?
1010011100101001 (hexadecimal A729, octal 123451).
What is the square root of 42793?
About 206.8647.
Is 42793 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 42793?
42793 is the 4475th prime number.