The number 5504
5504 is a composite number with 16 divisors. Its prime factorisation is × 43. Divisors (16): 1, 2, 4, 8, 16, 32, 43, 64, 86, 128, 172, 344, 688, 1376, 2752, 5504.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5504 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5504 is composite. Its prime factorisation is
- 3
The divisors add up to 11220; without 5504 itself that is 5716, so 5504 is abundant (5716 is more than 5504). Euler's totient φ(5504) = 2688 numbers up to 5504 share no factor with it.
- 4
The digits of 5504 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5504 = 2^{7} \times 43 \]5504 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 11220 |
| Euler totient φ(n) | 2688 |
| Square | 30294016 |
| Cube | 166738264064 |
| Square root | 74.188948 (= 8√86) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 36 |
| Scientific notation | 5.504 × |
5504 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and four |
| Binary (base 2) | 1010110000000 |
| Octal (base 8) | 12600 |
| Hexadecimal (base 16) | 1580 |
| Base 3 | 21112212 |
| As time | 5504 seconds = 1 h 31 min 44 s |
Is 5504 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5504 ÷ 2 = 2752) | 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 (5504 ÷ 4 = 1376) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 2) | 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 (5504 ÷ 8 = 688) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5504 a prime number?
No. 5504 = × 43, so it is divisible by 2.
What are the factors of 5504?
1, 2, 4, 8, 16, 32, 43, 64, 86, 128, 172, 344, 688, 1376, 2752, 5504.
What is 5504 in binary?
1010110000000 (hexadecimal 1580, octal 12600).
What is the square root of 5504?
About 74.1889, exactly 8√86.
Is 5504 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 5504?
It is a composite number with 16 divisors.