The number 5536
5536 is a composite number with 12 divisors. Its prime factorisation is × 173. Divisors (12): 1, 2, 4, 8, 16, 32, 173, 346, 692, 1384, 2768, 5536.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5536 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5536 is composite. Its prime factorisation is
- 3
The divisors add up to 10962; without 5536 itself that is 5426, so 5536 is deficient (5426 is less than 5536). Euler's totient φ(5536) = 2752 numbers up to 5536 share no factor with it.
- 4
The digits of 5536 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5536 = 2^{5} \times 173 \]5536 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 10962 |
| Euler totient φ(n) | 2752 |
| Square | 30647296 |
| Cube | 169663430656 |
| Square root | 74.404301 (= 4√346) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 36 |
| Scientific notation | 5.536 × |
5536 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and thirty-six |
| Binary (base 2) | 1010110100000 |
| Octal (base 8) | 12640 |
| Hexadecimal (base 16) | 15A0 |
| Base 3 | 21121001 |
| As time | 5536 seconds = 1 h 32 min 16 s |
Is 5536 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5536 ÷ 2 = 2768) | 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 | Yes (5536 ÷ 4 = 1384) | 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 | No (remainder 4) | 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 | Yes (5536 ÷ 8 = 692) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5536 a prime number?
No. 5536 = × 173, so it is divisible by 2.
What are the factors of 5536?
1, 2, 4, 8, 16, 32, 173, 346, 692, 1384, 2768, 5536.
What is 5536 in binary?
1010110100000 (hexadecimal 15A0, octal 12640).
What is the square root of 5536?
About 74.4043, exactly 4√346.
Is 5536 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 5536?
It is a composite number with 12 divisors.