The number 55566
55566 is a composite number with 40 divisors. Its prime factorisation is 2 × × . Divisors (40): 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 81, 98 … 55566.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55566: a Harshad number: divisible by its digit sum 27.
- 2
55566 is composite. Its prime factorisation is
- 3
The divisors add up to 145200; without 55566 itself that is 89634, so 55566 is abundant (89634 is more than 55566). Euler's totient φ(55566) = 15876 numbers up to 55566 share no factor with it.
- 4
The digits of 55566 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55566 = 2 \times 3^{4} \times 7^{3} \]55566 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 145200 |
| Euler totient φ(n) | 15876 |
| Square | 3087580356 |
| Cube | 171564490061496 |
| Square root | 235.724415 (= 63√14) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.5566 × |
55566 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand five hundred and sixty-six |
| Binary (base 2) | 1101100100001110 |
| Octal (base 8) | 154416 |
| Hexadecimal (base 16) | D90E |
| Base 3 | 2211020000 |
| As time | 55566 seconds = 15 h 26 min 6 s |
Is 55566 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55566 ÷ 2 = 27783) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55566 ÷ 3 = 18522) | 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 | Yes (55566 ÷ 6 = 9261) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (55566 ÷ 7 = 7938) | 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 | Yes (55566 ÷ 9 = 6174) | 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 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55566 a prime number?
No. 55566 = 2 × × , so it is divisible by 2.
What are the factors of 55566?
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 81, 98, 126, 147, 162, 189, 294, 343, 378, 441, 567, 686, 882, 1029, 1134, 1323, 2058, 2646, 3087, 3969, 6174, 7938, 9261, 18522, 27783, 55566.
What is 55566 in binary?
1101100100001110 (hexadecimal D90E, octal 154416).
What is the square root of 55566?
About 235.7244, exactly 63√14.
Is 55566 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 55566?
55566 is a Harshad number: divisible by its digit sum 27.