The number 42083
42083 is the 4401st prime number. Its only divisors are 1 and 42083.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42083: the 4401st prime number.
- 2
42083 is prime, so its only factors are 1 and 42083. It is the 4401st prime; the next prime is 42089 and the one before is 42073.
- 3
The divisors add up to 42084; without 42083 itself that is 1, so 42083 is deficient (1 is less than 42083). Euler's totient φ(42083) = 42082 numbers up to 42083 share no factor with it.
- 4
The digits of 42083 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
42083 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42084 |
| Euler totient φ(n) | 42082 |
| Square | 1770978889 |
| Cube | 74528104585787 |
| Square root | 205.141415 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.2083 × |
42083 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and eighty-three |
| Binary (base 2) | 1010010001100011 |
| Octal (base 8) | 122143 |
| Hexadecimal (base 16) | A463 |
| Base 3 | 2010201122 |
| As time | 42083 seconds = 11 h 41 min 23 s |
Is 42083 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 42083 a prime number?
Yes. 42083 is divisible only by 1 and itself.
What are the factors of 42083?
1, 42083.
What is 42083 in binary?
1010010001100011 (hexadecimal A463, octal 122143).
What is the square root of 42083?
About 205.1414.
Is 42083 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 42083?
42083 is the 4401st prime number.