The number 42239
42239 is the 4417th prime number. Its only divisors are 1 and 42239.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42239: the 4417th prime number.
- 2
42239 is prime, so its only factors are 1 and 42239. It is the 4417th prime; the next prime is 42257 and the one before is 42227.
- 3
The divisors add up to 42240; without 42239 itself that is 1, so 42239 is deficient (1 is less than 42239). Euler's totient φ(42239) = 42238 numbers up to 42239 share no factor with it.
- 4
The digits of 42239 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
42239 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42240 |
| Euler totient φ(n) | 42238 |
| Square | 1784133121 |
| Cube | 75359998897919 |
| Square root | 205.521288 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 80 |
| Scientific notation | 4.2239 × |
42239 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and thirty-nine |
| Binary (base 2) | 1010010011111111 |
| Octal (base 8) | 122377 |
| Hexadecimal (base 16) | A4FF |
| Base 3 | 2010221102 |
| As time | 42239 seconds = 11 h 43 min 59 s |
Is 42239 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 4) | 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 1) | 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 7) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 42239 a prime number?
Yes. 42239 is divisible only by 1 and itself.
What are the factors of 42239?
1, 42239.
What is 42239 in binary?
1010010011111111 (hexadecimal A4FF, octal 122377).
What is the square root of 42239?
About 205.5213.
Is 42239 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 42239?
42239 is the 4417th prime number.