The number 55528
55528 is a composite number with 16 divisors. Its prime factorisation is × 11 × 631. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 88, 631, 1262, 2524, 5048, 6941, 13882, 27764, 55528.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55528 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55528 is composite. Its prime factorisation is
- 3
The divisors add up to 113760; without 55528 itself that is 58232, so 55528 is abundant (58232 is more than 55528). Euler's totient φ(55528) = 25200 numbers up to 55528 share no factor with it.
- 4
The digits of 55528 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 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55528 = 2^{3} \times 11 \times 631 \]55528 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 113760 |
| Euler totient φ(n) | 25200 |
| Square | 3083358784 |
| Cube | 171212746557952 |
| Square root | 235.643799 (= 2√13882) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.5528 × |
55528 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand five hundred and twenty-eight |
| Binary (base 2) | 1101100011101000 |
| Octal (base 8) | 154350 |
| Hexadecimal (base 16) | D8E8 |
| Base 3 | 2211011121 |
| As time | 55528 seconds = 15 h 25 min 28 s |
Is 55528 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55528 ÷ 2 = 27764) | 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 (55528 ÷ 4 = 13882) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (55528 ÷ 8 = 6941) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (55528 ÷ 11 = 5048) | 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 55528 a prime number?
No. 55528 = × 11 × 631, so it is divisible by 2.
What are the factors of 55528?
1, 2, 4, 8, 11, 22, 44, 88, 631, 1262, 2524, 5048, 6941, 13882, 27764, 55528.
What is 55528 in binary?
1101100011101000 (hexadecimal D8E8, octal 154350).
What is the square root of 55528?
About 235.6438, exactly 2√13882.
Is 55528 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 55528?
It is a composite number with 16 divisors.