The number 37643
37643 is the 3987th prime number. Its only divisors are 1 and 37643.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37643: the 3987th prime number.
- 2
37643 is prime, so its only factors are 1 and 37643. It is the 3987th prime; the next prime is 37649 and the one before is 37633.
- 3
The divisors add up to 37644; without 37643 itself that is 1, so 37643 is deficient (1 is less than 37643). Euler's totient φ(37643) = 37642 numbers up to 37643 share no factor with it.
- 4
The digits of 37643 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 137 steps to reach 1.
37643 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 37644 |
| Euler totient φ(n) | 37642 |
| Square | 1416995449 |
| Cube | 53339959686707 |
| Square root | 194.018040 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 137 |
| Scientific notation | 3.7643 × |
37643 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand six hundred and forty-three |
| Binary (base 2) | 1001001100001011 |
| Octal (base 8) | 111413 |
| Hexadecimal (base 16) | 930B |
| Base 3 | 1220122012 |
| As time | 37643 seconds = 10 h 27 min 23 s |
Is 37643 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 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 5) | 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 3) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37643 a prime number?
Yes. 37643 is divisible only by 1 and itself.
What are the factors of 37643?
1, 37643.
What is 37643 in binary?
1001001100001011 (hexadecimal 930B, octal 111413).
What is the square root of 37643?
About 194.0180.
Is 37643 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 37643?
37643 is the 3987th prime number.