The number 55168
55168 is a composite number with 16 divisors. Its prime factorisation is × 431. Divisors (16): 1, 2, 4, 8, 16, 32, 64, 128, 431, 862, 1724, 3448, 6896, 13792, 27584, 55168.
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How to work it out
- 1
55168 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55168 is composite. Its prime factorisation is
- 3
The divisors add up to 110160; without 55168 itself that is 54992, so 55168 is deficient (54992 is less than 55168). Euler's totient φ(55168) = 27520 numbers up to 55168 share no factor with it.
- 4
The digits of 55168 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55168 = 2^{7} \times 431 \]55168 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 110160 |
| Euler totient φ(n) | 27520 |
| Square | 3043508224 |
| Cube | 167904261701632 |
| Square root | 234.878692 (= 8√862) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.5168 × |
55168 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand one hundred and sixty-eight |
| Binary (base 2) | 1101011110000000 |
| Octal (base 8) | 153600 |
| Hexadecimal (base 16) | D780 |
| Base 3 | 2210200021 |
| As time | 55168 seconds = 15 h 19 min 28 s |
Is 55168 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55168 ÷ 2 = 27584) | 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 (55168 ÷ 4 = 13792) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 (55168 ÷ 8 = 6896) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 55168 a prime number?
No. 55168 = × 431, so it is divisible by 2.
What are the factors of 55168?
1, 2, 4, 8, 16, 32, 64, 128, 431, 862, 1724, 3448, 6896, 13792, 27584, 55168.
What is 55168 in binary?
1101011110000000 (hexadecimal D780, octal 153600).
What is the square root of 55168?
About 234.8787, exactly 8√862.
Is 55168 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 55168?
It is a composite number with 16 divisors.