The number 5564
5564 is a composite number with 12 divisors. Its prime factorisation is × 13 × 107. Divisors (12): 1, 2, 4, 13, 26, 52, 107, 214, 428, 1391, 2782, 5564.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5564 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5564 is composite. Its prime factorisation is
- 3
The divisors add up to 10584; without 5564 itself that is 5020, so 5564 is deficient (5020 is less than 5564). Euler's totient φ(5564) = 2544 numbers up to 5564 share no factor with it.
- 4
The digits of 5564 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 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5564 = 2^{2} \times 13 \times 107 \]5564 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 10584 |
| Euler totient φ(n) | 2544 |
| Square | 30958096 |
| Cube | 172250846144 |
| Square root | 74.592225 (= 2√1391) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 116 |
| Scientific notation | 5.564 × |
5564 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and sixty-four |
| Binary (base 2) | 1010110111100 |
| Octal (base 8) | 12674 |
| Hexadecimal (base 16) | 15BC |
| Base 3 | 21122002 |
| As time | 5564 seconds = 1 h 32 min 44 s |
Is 5564 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5564 ÷ 2 = 2782) | 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 | Yes (5564 ÷ 4 = 1391) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | 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 4) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5564 a prime number?
No. 5564 = × 13 × 107, so it is divisible by 2.
What are the factors of 5564?
1, 2, 4, 13, 26, 52, 107, 214, 428, 1391, 2782, 5564.
What is 5564 in binary?
1010110111100 (hexadecimal 15BC, octal 12674).
What is the square root of 5564?
About 74.5922, exactly 2√1391.
Is 5564 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 5564?
It is a composite number with 12 divisors.