The number 42937
42937 is the 4488th prime number. Its only divisors are 1 and 42937.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42937: the 4488th prime number.
- 2
42937 is prime, so its only factors are 1 and 42937. It is the 4488th prime; the next prime is 42943 and the one before is 42929.
- 3
The divisors add up to 42938; without 42937 itself that is 1, so 42937 is deficient (1 is less than 42937). Euler's totient φ(42937) = 42936 numbers up to 42937 share no factor with it.
- 4
The digits of 42937 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
42937 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42938 |
| Euler totient φ(n) | 42936 |
| Square | 1843585969 |
| Cube | 79158050750953 |
| Square root | 207.212451 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.2937 × |
42937 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and thirty-seven |
| Binary (base 2) | 1010011110111001 |
| Octal (base 8) | 123671 |
| Hexadecimal (base 16) | A7B9 |
| Base 3 | 2011220021 |
| As time | 42937 seconds = 11 h 55 min 37 s |
Is 42937 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 6) | 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 7) | 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 4) | 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 42937 a prime number?
Yes. 42937 is divisible only by 1 and itself.
What are the factors of 42937?
1, 42937.
What is 42937 in binary?
1010011110111001 (hexadecimal A7B9, octal 123671).
What is the square root of 42937?
About 207.2125.
Is 42937 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 42937?
42937 is the 4488th prime number.