The number 37663
37663 is the 3990th prime number. Its only divisors are 1 and 37663.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37663: the 3990th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
37663 is prime, so its only factors are 1 and 37663. It is the 3990th prime; the next prime is 37691 and the one before is 37657.
- 3
The divisors add up to 37664; without 37663 itself that is 1, so 37663 is deficient (1 is less than 37663). Euler's totient φ(37663) = 37662 numbers up to 37663 share no factor with it.
- 4
The digits of 37663 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
37663 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 37664 |
| Euler totient φ(n) | 37662 |
| Square | 1418501569 |
| Cube | 53425024593247 |
| Square root | 194.069575 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.7663 × |
37663 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand six hundred and sixty-three |
| Binary (base 2) | 1001001100011111 |
| Octal (base 8) | 111437 |
| Hexadecimal (base 16) | 931F |
| Base 3 | 1220122221 |
| As time | 37663 seconds = 10 h 27 min 43 s |
Is 37663 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 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 10) | 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 37663 a prime number?
Yes. 37663 is divisible only by 1 and itself.
What are the factors of 37663?
1, 37663.
What is 37663 in binary?
1001001100011111 (hexadecimal 931F, octal 111437).
What is the square root of 37663?
About 194.0696.
Is 37663 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 37663?
37663 is the 3990th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.