The number 55616
55616 is a composite number with 28 divisors. Its prime factorisation is × 11 × 79. Divisors (28): 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 79, 88, 158, 176, 316, 352 … 55616.
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How to work it out
- 1
55616 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55616 is composite. Its prime factorisation is
- 3
The divisors add up to 121920; without 55616 itself that is 66304, so 55616 is abundant (66304 is more than 55616). Euler's totient φ(55616) = 24960 numbers up to 55616 share no factor with it.
- 4
The digits of 55616 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55616 = 2^{6} \times 11 \times 79 \]55616 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 121920 |
| Euler totient φ(n) | 24960 |
| Square | 3093139456 |
| Cube | 172028043984896 |
| Square root | 235.830448 (= 8√869) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.5616 × |
55616 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand six hundred and sixteen |
| Binary (base 2) | 1101100101000000 |
| Octal (base 8) | 154500 |
| Hexadecimal (base 16) | D940 |
| Base 3 | 2211021212 |
| As time | 55616 seconds = 15 h 26 min 56 s |
Is 55616 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55616 ÷ 2 = 27808) | 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 (55616 ÷ 4 = 13904) | 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 1) | 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 (55616 ÷ 8 = 6952) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (55616 ÷ 11 = 5056) | 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 55616 a prime number?
No. 55616 = × 11 × 79, so it is divisible by 2.
What are the factors of 55616?
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 79, 88, 158, 176, 316, 352, 632, 704, 869, 1264, 1738, 2528, 3476, 5056, 6952, 13904, 27808, 55616.
What is 55616 in binary?
1101100101000000 (hexadecimal D940, octal 154500).
What is the square root of 55616?
About 235.8304, exactly 8√869.
Is 55616 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 55616?
It is a composite number with 28 divisors.