The number 5516
5516 is a composite number with 12 divisors. Its prime factorisation is × 7 × 197. Divisors (12): 1, 2, 4, 7, 14, 28, 197, 394, 788, 1379, 2758, 5516.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5516 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5516 is composite. Its prime factorisation is
- 3
The divisors add up to 11088; without 5516 itself that is 5572, so 5516 is abundant (5572 is more than 5516). Euler's totient φ(5516) = 2352 numbers up to 5516 share no factor with it.
- 4
The digits of 5516 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5516 = 2^{2} \times 7 \times 197 \]5516 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 11088 |
| Euler totient φ(n) | 2352 |
| Square | 30426256 |
| Cube | 167831228096 |
| Square root | 74.269779 (= 2√1379) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 129 |
| Scientific notation | 5.516 × |
5516 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and sixteen |
| Binary (base 2) | 1010110001100 |
| Octal (base 8) | 12614 |
| Hexadecimal (base 16) | 158C |
| Base 3 | 21120022 |
| As time | 5516 seconds = 1 h 31 min 56 s |
Is 5516 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5516 ÷ 2 = 2758) | 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 (5516 ÷ 4 = 1379) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (5516 ÷ 7 = 788) | 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 | No (remainder 8) | 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 5) | 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 5516 a prime number?
No. 5516 = × 7 × 197, so it is divisible by 2.
What are the factors of 5516?
1, 2, 4, 7, 14, 28, 197, 394, 788, 1379, 2758, 5516.
What is 5516 in binary?
1010110001100 (hexadecimal 158C, octal 12614).
What is the square root of 5516?
About 74.2698, exactly 2√1379.
Is 5516 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 5516?
It is a composite number with 12 divisors.