The number 55516
55516 is a composite number with 6 divisors. Its prime factorisation is × 13879. Divisors (6): 1, 2, 4, 13879, 27758, 55516.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55516 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55516 is composite. Its prime factorisation is
- 3
The divisors add up to 97160; without 55516 itself that is 41644, so 55516 is deficient (41644 is less than 55516). Euler's totient φ(55516) = 27756 numbers up to 55516 share no factor with it.
- 4
The digits of 55516 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55516 = 2^{2} \times 13879 \]55516 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 97160 |
| Euler totient φ(n) | 27756 |
| Square | 3082026256 |
| Cube | 171101769628096 |
| Square root | 235.618335 (= 2√13879) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5516 × |
55516 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand five hundred and sixteen |
| Binary (base 2) | 1101100011011100 |
| Octal (base 8) | 154334 |
| Hexadecimal (base 16) | D8DC |
| Base 3 | 2211011011 |
| As time | 55516 seconds = 15 h 25 min 16 s |
Is 55516 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55516 ÷ 2 = 27758) | 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 (55516 ÷ 4 = 13879) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 10) | 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 55516 a prime number?
No. 55516 = × 13879, so it is divisible by 2.
What are the factors of 55516?
1, 2, 4, 13879, 27758, 55516.
What is 55516 in binary?
1101100011011100 (hexadecimal D8DC, octal 154334).
What is the square root of 55516?
About 235.6183, exactly 2√13879.
Is 55516 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 55516?
It is a composite number with 6 divisors.