The number 5566
5566 is a composite number with 12 divisors. Its prime factorisation is 2 × × 23. Divisors (12): 1, 2, 11, 22, 23, 46, 121, 242, 253, 506, 2783, 5566.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5566: a Harshad number: divisible by its digit sum 22.
- 2
5566 is composite. Its prime factorisation is
- 3
The divisors add up to 9576; without 5566 itself that is 4010, so 5566 is deficient (4010 is less than 5566). Euler's totient φ(5566) = 2420 numbers up to 5566 share no factor with it.
- 4
The digits of 5566 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5566 = 2 \times 11^{2} \times 23 \]5566 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 9576 |
| Euler totient φ(n) | 2420 |
| Square | 30980356 |
| Cube | 172436661496 |
| Square root | 74.605630 (= 11√46) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 116 |
| Scientific notation | 5.566 × |
5566 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and sixty-six |
| Binary (base 2) | 1010110111110 |
| Octal (base 8) | 12676 |
| Hexadecimal (base 16) | 15BE |
| Base 3 | 21122011 |
| As time | 5566 seconds = 1 h 32 min 46 s |
Is 5566 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5566 ÷ 2 = 2783) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (5566 ÷ 11 = 506) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5566 a prime number?
No. 5566 = 2 × × 23, so it is divisible by 2.
What are the factors of 5566?
1, 2, 11, 22, 23, 46, 121, 242, 253, 506, 2783, 5566.
What is 5566 in binary?
1010110111110 (hexadecimal 15BE, octal 12676).
What is the square root of 5566?
About 74.6056, exactly 11√46.
Is 5566 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 5566?
5566 is a Harshad number: divisible by its digit sum 22.