The number 5526
5526 is a composite number with 12 divisors. Its prime factorisation is 2 × × 307. Divisors (12): 1, 2, 3, 6, 9, 18, 307, 614, 921, 1842, 2763, 5526.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5526: a Harshad number: divisible by its digit sum 18.
- 2
5526 is composite. Its prime factorisation is
- 3
The divisors add up to 12012; without 5526 itself that is 6486, so 5526 is abundant (6486 is more than 5526). Euler's totient φ(5526) = 1836 numbers up to 5526 share no factor with it.
- 4
The digits of 5526 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5526 = 2 \times 3^{2} \times 307 \]5526 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 12012 |
| Euler totient φ(n) | 1836 |
| Square | 30536676 |
| Cube | 168745671576 |
| Square root | 74.337070 (= 3√614) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 41 |
| Scientific notation | 5.526 × |
5526 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and twenty-six |
| Binary (base 2) | 1010110010110 |
| Octal (base 8) | 12626 |
| Hexadecimal (base 16) | 1596 |
| Base 3 | 21120200 |
| As time | 5526 seconds = 1 h 32 min 6 s |
Is 5526 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5526 ÷ 2 = 2763) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5526 ÷ 3 = 1842) | 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 (5526 ÷ 6 = 921) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (5526 ÷ 9 = 614) | 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 4) | 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 5526 a prime number?
No. 5526 = 2 × × 307, so it is divisible by 2.
What are the factors of 5526?
1, 2, 3, 6, 9, 18, 307, 614, 921, 1842, 2763, 5526.
What is 5526 in binary?
1010110010110 (hexadecimal 1596, octal 12626).
What is the square root of 5526?
About 74.3371, exactly 3√614.
Is 5526 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 5526?
5526 is a Harshad number: divisible by its digit sum 18.