The number 163
163 is the 38th prime number. Its only divisors are 1 and 163.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 163: the 38th prime number.
- 2
163 is prime, so its only factors are 1 and 163. It is the 38th prime; the next prime is 167 and the one before is 157.
- 3
The divisors add up to 164; without 163 itself that is 1, so 163 is deficient (1 is less than 163). Euler's totient φ(163) = 162 numbers up to 163 share no factor with it.
- 4
The digits of 163 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 23 steps to reach 1.
163 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 164 |
| Euler totient φ(n) | 162 |
| Square | 26569 |
| Cube | 4330747 |
| Square root | 12.767145 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 23 |
| Scientific notation | 1.63 × |
163 in other forms
| Form | Value |
|---|---|
| In words | one hundred and sixty-three |
| Roman numerals | CLXIII |
| Binary (base 2) | 10100011 |
| Octal (base 8) | 243 |
| Hexadecimal (base 16) | A3 |
| Base 3 | 20001 |
| As time | 163 seconds = 2 min 43 s |
Is 163 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 9) | 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 163 a prime number?
Yes. 163 is divisible only by 1 and itself.
What are the factors of 163?
1, 163.
What is 163 in binary?
10100011 (hexadecimal A3, octal 243).
What is the square root of 163?
About 12.7671.
What is 163 in Roman numerals?
CLXIII.
Is 163 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 163?
163 is the 38th prime number.