The number 5528
5528 is a composite number with 8 divisors. Its prime factorisation is × 691. Divisors (8): 1, 2, 4, 8, 691, 1382, 2764, 5528.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5528 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5528 is composite. Its prime factorisation is
- 3
The divisors add up to 10380; without 5528 itself that is 4852, so 5528 is deficient (4852 is less than 5528). Euler's totient φ(5528) = 2760 numbers up to 5528 share no factor with it.
- 4
The digits of 5528 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 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5528 = 2^{3} \times 691 \]5528 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 10380 |
| Euler totient φ(n) | 2760 |
| Square | 30558784 |
| Cube | 168928957952 |
| Square root | 74.350521 (= 2√1382) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 129 |
| Scientific notation | 5.528 × |
5528 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and twenty-eight |
| Binary (base 2) | 1010110011000 |
| Octal (base 8) | 12630 |
| Hexadecimal (base 16) | 1598 |
| Base 3 | 21120202 |
| As time | 5528 seconds = 1 h 32 min 8 s |
Is 5528 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5528 ÷ 2 = 2764) | 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 (5528 ÷ 4 = 1382) | 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 2) | 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 | Yes (5528 ÷ 8 = 691) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 5528 a prime number?
No. 5528 = × 691, so it is divisible by 2.
What are the factors of 5528?
1, 2, 4, 8, 691, 1382, 2764, 5528.
What is 5528 in binary?
1010110011000 (hexadecimal 1598, octal 12630).
What is the square root of 5528?
About 74.3505, exactly 2√1382.
Is 5528 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 5528?
It is a composite number with 8 divisors.