The number 42359
42359 is the 4428th prime number. Its only divisors are 1 and 42359.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42359: the 4428th prime number.
- 2
42359 is prime, so its only factors are 1 and 42359. It is the 4428th prime; the next prime is 42373 and the one before is 42349.
- 3
The divisors add up to 42360; without 42359 itself that is 1, so 42359 is deficient (1 is less than 42359). Euler's totient φ(42359) = 42358 numbers up to 42359 share no factor with it.
- 4
The digits of 42359 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 119 steps to reach 1.
42359 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42360 |
| Euler totient φ(n) | 42358 |
| Square | 1794284881 |
| Cube | 76004113274279 |
| Square root | 205.813022 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.2359 × |
42359 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and fifty-nine |
| Binary (base 2) | 1010010101110111 |
| Octal (base 8) | 122567 |
| Hexadecimal (base 16) | A577 |
| Base 3 | 2011002212 |
| As time | 42359 seconds = 11 h 45 min 59 s |
Is 42359 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 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 7) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 42359 a prime number?
Yes. 42359 is divisible only by 1 and itself.
What are the factors of 42359?
1, 42359.
What is 42359 in binary?
1010010101110111 (hexadecimal A577, octal 122567).
What is the square root of 42359?
About 205.8130.
Is 42359 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 42359?
42359 is the 4428th prime number.