The number 42437
42437 is the 4437th prime number. Its only divisors are 1 and 42437.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42437: the 4437th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42437 is prime, so its only factors are 1 and 42437. It is the 4437th prime; the next prime is 42443 and the one before is 42433.
- 3
The divisors add up to 42438; without 42437 itself that is 1, so 42437 is deficient (1 is less than 42437). Euler's totient φ(42437) = 42436 numbers up to 42437 share no factor with it.
- 4
The digits of 42437 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 31 steps to reach 1.
42437 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42438 |
| Euler totient φ(n) | 42436 |
| Square | 1800898969 |
| Cube | 76424749547453 |
| Square root | 206.002427 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 31 |
| Scientific notation | 4.2437 × |
42437 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and thirty-seven |
| Binary (base 2) | 1010010111000101 |
| Octal (base 8) | 122705 |
| Hexadecimal (base 16) | A5C5 |
| Base 3 | 2011012202 |
| As time | 42437 seconds = 11 h 47 min 17 s |
Is 42437 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 5) | 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 7) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42437 a prime number?
Yes. 42437 is divisible only by 1 and itself.
What are the factors of 42437?
1, 42437.
What is 42437 in binary?
1010010111000101 (hexadecimal A5C5, octal 122705).
What is the square root of 42437?
About 206.0024.
Is 42437 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 42437?
42437 is the 4437th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.