The number 55564
55564 is a composite number with 12 divisors. Its prime factorisation is × 29 × 479. Divisors (12): 1, 2, 4, 29, 58, 116, 479, 958, 1916, 13891, 27782, 55564.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55564 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55564 is composite. Its prime factorisation is
- 3
The divisors add up to 100800; without 55564 itself that is 45236, so 55564 is deficient (45236 is less than 55564). Euler's totient φ(55564) = 26768 numbers up to 55564 share no factor with it.
- 4
The digits of 55564 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55564 = 2^{2} \times 29 \times 479 \]55564 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 100800 |
| Euler totient φ(n) | 26768 |
| Square | 3087358096 |
| Cube | 171545965246144 |
| Square root | 235.720173 (= 2√13891) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.5564 × |
55564 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand five hundred and sixty-four |
| Binary (base 2) | 1101100100001100 |
| Octal (base 8) | 154414 |
| Hexadecimal (base 16) | D90C |
| Base 3 | 2211012221 |
| As time | 55564 seconds = 15 h 26 min 4 s |
Is 55564 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55564 ÷ 2 = 27782) | 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 | Yes (55564 ÷ 4 = 13891) | 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 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55564 a prime number?
No. 55564 = × 29 × 479, so it is divisible by 2.
What are the factors of 55564?
1, 2, 4, 29, 58, 116, 479, 958, 1916, 13891, 27782, 55564.
What is 55564 in binary?
1101100100001100 (hexadecimal D90C, octal 154414).
What is the square root of 55564?
About 235.7202, exactly 2√13891.
Is 55564 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 55564?
It is a composite number with 12 divisors.