The number 5530
5530 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 7 × 79. Divisors (16): 1, 2, 5, 7, 10, 14, 35, 70, 79, 158, 395, 553, 790, 1106, 2765, 5530.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5530 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5530 is composite. Its prime factorisation is
- 3
The divisors add up to 11520; without 5530 itself that is 5990, so 5530 is abundant (5990 is more than 5530). Euler's totient φ(5530) = 1872 numbers up to 5530 share no factor with it.
- 4
The digits of 5530 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5530 = 2 \times 5 \times 7 \times 79 \]
5530 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 11520 |
| Euler totient φ(n) | 1872 |
| Square | 30580900 |
| Cube | 169112377000 |
| Square root | 74.363970 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 129 |
| Scientific notation | 5.53 × |
5530 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and thirty |
| Binary (base 2) | 1010110011010 |
| Octal (base 8) | 12632 |
| Hexadecimal (base 16) | 159A |
| Base 3 | 21120211 |
| As time | 5530 seconds = 1 h 32 min 10 s |
Is 5530 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5530 ÷ 2 = 2765) | 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 | Yes (5530 ÷ 5 = 1106) | 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 | Yes (5530 ÷ 7 = 790) | 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 2) | 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 | Yes (5530 ÷ 10 = 553) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 5530 a prime number?
No. 5530 = 2 × 5 × 7 × 79, so it is divisible by 2.
What are the factors of 5530?
1, 2, 5, 7, 10, 14, 35, 70, 79, 158, 395, 553, 790, 1106, 2765, 5530.
What is 5530 in binary?
1010110011010 (hexadecimal 159A, octal 12632).
What is the square root of 5530?
About 74.3640.
Is 5530 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 5530?
It is a composite number with 16 divisors.