The number 42737
42737 is the 4469th prime number. Its only divisors are 1 and 42737.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42737: the 4469th prime number.
- 2
42737 is prime, so its only factors are 1 and 42737. It is the 4469th prime; the next prime is 42743 and the one before is 42727.
- 3
The divisors add up to 42738; without 42737 itself that is 1, so 42737 is deficient (1 is less than 42737). Euler's totient φ(42737) = 42736 numbers up to 42737 share no factor with it.
- 4
The digits of 42737 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 150 steps to reach 1.
42737 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42738 |
| Euler totient φ(n) | 42736 |
| Square | 1826451169 |
| Cube | 78057043609553 |
| Square root | 206.729292 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2737 × |
42737 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and thirty-seven |
| Binary (base 2) | 1010011011110001 |
| Octal (base 8) | 123361 |
| Hexadecimal (base 16) | A6F1 |
| Base 3 | 2011121212 |
| As time | 42737 seconds = 11 h 52 min 17 s |
Is 42737 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 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 1) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 42737 a prime number?
Yes. 42737 is divisible only by 1 and itself.
What are the factors of 42737?
1, 42737.
What is 42737 in binary?
1010011011110001 (hexadecimal A6F1, octal 123361).
What is the square root of 42737?
About 206.7293.
Is 42737 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 42737?
42737 is the 4469th prime number.