The number 5563
5563 is the 734th prime number. Its only divisors are 1 and 5563.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5563: the 734th prime number.
- 2
5563 is prime, so its only factors are 1 and 5563. It is the 734th prime; the next prime is 5569 and the one before is 5557.
- 3
The divisors add up to 5564; without 5563 itself that is 1, so 5563 is deficient (1 is less than 5563). Euler's totient φ(5563) = 5562 numbers up to 5563 share no factor with it.
- 4
The digits of 5563 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
5563 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5564 |
| Euler totient φ(n) | 5562 |
| Square | 30946969 |
| Cube | 172157988547 |
| Square root | 74.585521 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 116 |
| Scientific notation | 5.563 × |
5563 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and sixty-three |
| Binary (base 2) | 1010110111011 |
| Octal (base 8) | 12673 |
| Hexadecimal (base 16) | 15BB |
| Base 3 | 21122001 |
| As time | 5563 seconds = 1 h 32 min 43 s |
Is 5563 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 5) | 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 8) | 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 5563 a prime number?
Yes. 5563 is divisible only by 1 and itself.
What are the factors of 5563?
1, 5563.
What is 5563 in binary?
1010110111011 (hexadecimal 15BB, octal 12673).
What is the square root of 5563?
About 74.5855.
Is 5563 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 5563?
5563 is the 734th prime number.