The number 37963
37963 is the 4012th prime number. Its only divisors are 1 and 37963.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37963: the 4012th prime number.
- 2
37963 is prime, so its only factors are 1 and 37963. It is the 4012th prime; the next prime is 37967 and the one before is 37957.
- 3
The divisors add up to 37964; without 37963 itself that is 1, so 37963 is deficient (1 is less than 37963). Euler's totient φ(37963) = 37962 numbers up to 37963 share no factor with it.
- 4
The digits of 37963 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 155 steps to reach 1.
37963 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 37964 |
| Euler totient φ(n) | 37962 |
| Square | 1441189369 |
| Cube | 54711872015347 |
| Square root | 194.840961 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.7963 × |
37963 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand nine hundred and sixty-three |
| Binary (base 2) | 1001010001001011 |
| Octal (base 8) | 112113 |
| Hexadecimal (base 16) | 944B |
| Base 3 | 1221002001 |
| As time | 37963 seconds = 10 h 32 min 43 s |
Is 37963 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 3) | 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 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 3) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37963 a prime number?
Yes. 37963 is divisible only by 1 and itself.
What are the factors of 37963?
1, 37963.
What is 37963 in binary?
1001010001001011 (hexadecimal 944B, octal 112113).
What is the square root of 37963?
About 194.8410.
Is 37963 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 37963?
37963 is the 4012th prime number.