The number 42683
42683 is the 4461st prime number. Its only divisors are 1 and 42683.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42683: the 4461st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42683 is prime, so its only factors are 1 and 42683. It is the 4461st prime; the next prime is 42689 and the one before is 42677.
- 3
The divisors add up to 42684; without 42683 itself that is 1, so 42683 is deficient (1 is less than 42683). Euler's totient φ(42683) = 42682 numbers up to 42683 share no factor with it.
- 4
The digits of 42683 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 88 steps to reach 1.
42683 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42684 |
| Euler totient φ(n) | 42682 |
| Square | 1821838489 |
| Cube | 77761532225987 |
| Square root | 206.598645 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.2683 × |
42683 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and eighty-three |
| Binary (base 2) | 1010011010111011 |
| Octal (base 8) | 123273 |
| Hexadecimal (base 16) | A6BB |
| Base 3 | 2011112212 |
| As time | 42683 seconds = 11 h 51 min 23 s |
Is 42683 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 4) | 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 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 3) | 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 42683 a prime number?
Yes. 42683 is divisible only by 1 and itself.
What are the factors of 42683?
1, 42683.
What is 42683 in binary?
1010011010111011 (hexadecimal A6BB, octal 123273).
What is the square root of 42683?
About 206.5986.
Is 42683 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 42683?
42683 is the 4461st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.