The number 5508
5508 is a composite number with 30 divisors. Its prime factorisation is × × 17. Divisors (30): 1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 81 … 5508.
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How to work it out
- 1
What is special about 5508: a Harshad number: divisible by its digit sum 18.
- 2
5508 is composite. Its prime factorisation is
- 3
The divisors add up to 15246; without 5508 itself that is 9738, so 5508 is abundant (9738 is more than 5508). Euler's totient φ(5508) = 1728 numbers up to 5508 share no factor with it.
- 4
The digits of 5508 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 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5508 = 2^{2} \times 3^{4} \times 17 \]5508 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 15246 |
| Euler totient φ(n) | 1728 |
| Square | 30338064 |
| Cube | 167102056512 |
| Square root | 74.215901 (= 18√17) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 160 |
| Scientific notation | 5.508 × |
5508 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and eight |
| Binary (base 2) | 1010110000100 |
| Octal (base 8) | 12604 |
| Hexadecimal (base 16) | 1584 |
| Base 3 | 21120000 |
| As time | 5508 seconds = 1 h 31 min 48 s |
Is 5508 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5508 ÷ 2 = 2754) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5508 ÷ 3 = 1836) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5508 ÷ 4 = 1377) | 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 | Yes (5508 ÷ 6 = 918) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (5508 ÷ 9 = 612) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (5508 ÷ 12 = 459) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5508 a prime number?
No. 5508 = × × 17, so it is divisible by 2.
What are the factors of 5508?
1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 81, 102, 108, 153, 162, 204, 306, 324, 459, 612, 918, 1377, 1836, 2754, 5508.
What is 5508 in binary?
1010110000100 (hexadecimal 1584, octal 12604).
What is the square root of 5508?
About 74.2159, exactly 18√17.
Is 5508 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 5508?
5508 is a Harshad number: divisible by its digit sum 18.