The number 40063
40063 is the 4209th prime number. Its only divisors are 1 and 40063.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40063: the 4209th prime number.
- 2
40063 is prime, so its only factors are 1 and 40063. It is the 4209th prime; the next prime is 40087 and the one before is 40039.
- 3
The divisors add up to 40064; without 40063 itself that is 1, so 40063 is deficient (1 is less than 40063). Euler's totient φ(40063) = 40062 numbers up to 40063 share no factor with it.
- 4
The digits of 40063 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
40063 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 40064 |
| Euler totient φ(n) | 40062 |
| Square | 1605043969 |
| Cube | 64302876530047 |
| Square root | 200.157438 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 168 |
| Scientific notation | 4.0063 × |
40063 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and sixty-three |
| Binary (base 2) | 1001110001111111 |
| Octal (base 8) | 116177 |
| Hexadecimal (base 16) | 9C7F |
| Base 3 | 2000221211 |
| As time | 40063 seconds = 11 h 7 min 43 s |
Is 40063 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 7) | 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 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40063 a prime number?
Yes. 40063 is divisible only by 1 and itself.
What are the factors of 40063?
1, 40063.
What is 40063 in binary?
1001110001111111 (hexadecimal 9C7F, octal 116177).
What is the square root of 40063?
About 200.1574.
Is 40063 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 40063?
40063 is the 4209th prime number.