The number 55163
55163 is the 5605th prime number. Its only divisors are 1 and 55163.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55163: the 5605th prime number.
- 2
55163 is prime, so its only factors are 1 and 55163. It is the 5605th prime; the next prime is 55171 and the one before is 55147.
- 3
The divisors add up to 55164; without 55163 itself that is 1, so 55163 is deficient (1 is less than 55163). Euler's totient φ(55163) = 55162 numbers up to 55163 share no factor with it.
- 4
The digits of 55163 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
55163 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55164 |
| Euler totient φ(n) | 55162 |
| Square | 3042956569 |
| Cube | 167858613215747 |
| Square root | 234.868048 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.5163 × |
55163 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand one hundred and sixty-three |
| Binary (base 2) | 1101011101111011 |
| Octal (base 8) | 153573 |
| Hexadecimal (base 16) | D77B |
| Base 3 | 2210200002 |
| As time | 55163 seconds = 15 h 19 min 23 s |
Is 55163 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 2) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55163 a prime number?
Yes. 55163 is divisible only by 1 and itself.
What are the factors of 55163?
1, 55163.
What is 55163 in binary?
1101011101111011 (hexadecimal D77B, octal 153573).
What is the square root of 55163?
About 234.8680.
Is 55163 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 55163?
55163 is the 5605th prime number.