The number 37693
37693 is a twin prime (37691 and 37693 are both prime) and the 3992nd prime number. Its only divisors are 1 and 37693.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37693: a twin prime (37691 and 37693 are both prime); the 3992nd prime number.
- 2
37693 is prime, so its only factors are 1 and 37693. It is the 3992nd prime; the next prime is 37699 and the one before is 37691.
- 3
The divisors add up to 37694; without 37693 itself that is 1, so 37693 is deficient (1 is less than 37693). Euler's totient φ(37693) = 37692 numbers up to 37693 share no factor with it.
- 4
The digits of 37693 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
37693 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 37694 |
| Euler totient φ(n) | 37692 |
| Square | 1420762249 |
| Cube | 53552791451557 |
| Square root | 194.146852 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.7693 × |
37693 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand six hundred and ninety-three |
| Binary (base 2) | 1001001100111101 |
| Octal (base 8) | 111475 |
| Hexadecimal (base 16) | 933D |
| Base 3 | 1220201001 |
| As time | 37693 seconds = 10 h 28 min 13 s |
Is 37693 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 3) | 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 5) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 37693 a prime number?
Yes. 37693 is divisible only by 1 and itself.
What are the factors of 37693?
1, 37693.
What is 37693 in binary?
1001001100111101 (hexadecimal 933D, octal 111475).
What is the square root of 37693?
About 194.1469.
Is 37693 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 37693?
37693 is a twin prime (37691 and 37693 are both prime); the 3992nd prime number.