The number 55016
55016 is a composite number with 24 divisors. Its prime factorisation is × 13 × . Divisors (24): 1, 2, 4, 8, 13, 23, 26, 46, 52, 92, 104, 184, 299, 529, 598, 1058 … 55016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55016 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55016 is composite. Its prime factorisation is
- 3
The divisors add up to 116130; without 55016 itself that is 61114, so 55016 is abundant (61114 is more than 55016). Euler's totient φ(55016) = 24288 numbers up to 55016 share no factor with it.
- 4
The digits of 55016 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 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55016 = 2^{3} \times 13 \times 23^{2} \]55016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 116130 |
| Euler totient φ(n) | 24288 |
| Square | 3026760256 |
| Cube | 166520242244096 |
| Square root | 234.554898 (= 46√26) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.5016 × |
55016 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand and sixteen |
| Binary (base 2) | 1101011011101000 |
| Octal (base 8) | 153350 |
| Hexadecimal (base 16) | D6E8 |
| Base 3 | 2210110122 |
| As time | 55016 seconds = 15 h 16 min 56 s |
Is 55016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55016 ÷ 2 = 27508) | 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 (55016 ÷ 4 = 13754) | 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 | No (remainder 3) | 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 (55016 ÷ 8 = 6877) | 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 55016 a prime number?
No. 55016 = × 13 × , so it is divisible by 2.
What are the factors of 55016?
1, 2, 4, 8, 13, 23, 26, 46, 52, 92, 104, 184, 299, 529, 598, 1058, 1196, 2116, 2392, 4232, 6877, 13754, 27508, 55016.
What is 55016 in binary?
1101011011101000 (hexadecimal D6E8, octal 153350).
What is the square root of 55016?
About 234.5549, exactly 46√26.
Is 55016 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 55016?
It is a composite number with 24 divisors.