The number 93937
93937 is the 9063rd prime number. Its only divisors are 1 and 93937.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 93937: the 9063rd prime number.
- 2
93937 is prime, so its only factors are 1 and 93937. It is the 9063rd prime; the next prime is 93941 and the one before is 93923.
- 3
The divisors add up to 93938; without 93937 itself that is 1, so 93937 is deficient (1 is less than 93937). Euler's totient φ(93937) = 93936 numbers up to 93937 share no factor with it.
- 4
The digits of 93937 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
93937 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 93938 |
| Euler totient φ(n) | 93936 |
| Square | 8824159969 |
| Cube | 828915115007953 |
| Square root | 306.491435 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 146 |
| Scientific notation | 9.3937 × |
93937 in other forms
| Form | Value |
|---|---|
| In words | ninety-three thousand nine hundred and thirty-seven |
| Binary (base 2) | 10110111011110001 |
| Octal (base 8) | 267361 |
| Hexadecimal (base 16) | 16EF1 |
| Base 3 | 11202212011 |
| As time | 93937 seconds = 26 h 5 min 37 s |
Is 93937 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 4) | 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 4) | 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 8) | 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 93937 a prime number?
Yes. 93937 is divisible only by 1 and itself.
What are the factors of 93937?
1, 93937.
What is 93937 in binary?
10110111011110001 (hexadecimal 16EF1, octal 267361).
What is the square root of 93937?
About 306.4914.
Is 93937 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 93937?
93937 is the 9063rd prime number.