The number 42337
42337 is the 4426th prime number. Its only divisors are 1 and 42337.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42337: the 4426th prime number.
- 2
42337 is prime, so its only factors are 1 and 42337. It is the 4426th prime; the next prime is 42349 and the one before is 42331.
- 3
The divisors add up to 42338; without 42337 itself that is 1, so 42337 is deficient (1 is less than 42337). Euler's totient φ(42337) = 42336 numbers up to 42337 share no factor with it.
- 4
The digits of 42337 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
42337 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42338 |
| Euler totient φ(n) | 42336 |
| Square | 1792421569 |
| Cube | 75885751966753 |
| Square root | 205.759568 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.2337 × |
42337 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and thirty-seven |
| Binary (base 2) | 1010010101100001 |
| Octal (base 8) | 122541 |
| Hexadecimal (base 16) | A561 |
| Base 3 | 2011002001 |
| As time | 42337 seconds = 11 h 45 min 37 s |
Is 42337 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 2) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42337 a prime number?
Yes. 42337 is divisible only by 1 and itself.
What are the factors of 42337?
1, 42337.
What is 42337 in binary?
1010010101100001 (hexadecimal A561, octal 122541).
What is the square root of 42337?
About 205.7596.
Is 42337 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 42337?
42337 is the 4426th prime number.