The number 563
563 is the 103rd prime number. Its only divisors are 1 and 563.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 563: the 103rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
563 is prime, so its only factors are 1 and 563. It is the 103rd prime; the next prime is 569 and the one before is 557.
- 3
The divisors add up to 564; without 563 itself that is 1, so 563 is deficient (1 is less than 563). Euler's totient φ(563) = 562 numbers up to 563 share no factor with it.
- 4
The digits of 563 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 43 steps to reach 1.
563 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 564 |
| Euler totient φ(n) | 562 |
| Square | 316969 |
| Cube | 178453547 |
| Square root | 23.727621 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 43 |
| Scientific notation | 5.63 × |
563 in other forms
| Form | Value |
|---|---|
| In words | five hundred and sixty-three |
| Roman numerals | DLXIII |
| Binary (base 2) | 1000110011 |
| Octal (base 8) | 1063 |
| Hexadecimal (base 16) | 233 |
| Base 3 | 202212 |
| As time | 563 seconds = 9 min 23 s |
Is 563 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 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 563 a prime number?
Yes. 563 is divisible only by 1 and itself.
What are the factors of 563?
1, 563.
What is 563 in binary?
1000110011 (hexadecimal 233, octal 1063).
What is the square root of 563?
About 23.7276.
What is 563 in Roman numerals?
DLXIII.
Is 563 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 563?
563 is the 103rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.