The number 40163
40163 is the 4219th prime number. Its only divisors are 1 and 40163.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40163: the 4219th prime number.
- 2
40163 is prime, so its only factors are 1 and 40163. It is the 4219th prime; the next prime is 40169 and the one before is 40153.
- 3
The divisors add up to 40164; without 40163 itself that is 1, so 40163 is deficient (1 is less than 40163). Euler's totient φ(40163) = 40162 numbers up to 40163 share no factor with it.
- 4
The digits of 40163 add up to 14, 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.
40163 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 40164 |
| Euler totient φ(n) | 40162 |
| Square | 1613066569 |
| Cube | 64785592610747 |
| Square root | 200.407086 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 137 |
| Scientific notation | 4.0163 × |
40163 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and sixty-three |
| Binary (base 2) | 1001110011100011 |
| Octal (base 8) | 116343 |
| Hexadecimal (base 16) | 9CE3 |
| Base 3 | 2001002112 |
| As time | 40163 seconds = 11 h 9 min 23 s |
Is 40163 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 2) | 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 40163 a prime number?
Yes. 40163 is divisible only by 1 and itself.
What are the factors of 40163?
1, 40163.
What is 40163 in binary?
1001110011100011 (hexadecimal 9CE3, octal 116343).
What is the square root of 40163?
About 200.4071.
Is 40163 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 40163?
40163 is the 4219th prime number.