The number 13163
13163 is the 1566th prime number. Its only divisors are 1 and 13163.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13163: the 1566th prime number.
- 2
13163 is prime, so its only factors are 1 and 13163. It is the 1566th prime; the next prime is 13171 and the one before is 13159.
- 3
The divisors add up to 13164; without 13163 itself that is 1, so 13163 is deficient (1 is less than 13163). Euler's totient φ(13163) = 13162 numbers up to 13163 share no factor with it.
- 4
The digits of 13163 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 138 steps to reach 1.
13163 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13164 |
| Euler totient φ(n) | 13162 |
| Square | 173264569 |
| Cube | 2280681521747 |
| Square root | 114.730118 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3163 × |
13163 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and sixty-three |
| Binary (base 2) | 11001101101011 |
| Octal (base 8) | 31553 |
| Hexadecimal (base 16) | 336B |
| Base 3 | 200001112 |
| As time | 13163 seconds = 3 h 39 min 23 s |
Is 13163 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 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 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 7) | 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 13163 a prime number?
Yes. 13163 is divisible only by 1 and itself.
What are the factors of 13163?
1, 13163.
What is 13163 in binary?
11001101101011 (hexadecimal 336B, octal 31553).
What is the square root of 13163?
About 114.7301.
Is 13163 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 13163?
13163 is the 1566th prime number.