The number 55268
55268 is a composite number with 12 divisors. Its prime factorisation is × 41 × 337. Divisors (12): 1, 2, 4, 41, 82, 164, 337, 674, 1348, 13817, 27634, 55268.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55268 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55268 is composite. Its prime factorisation is
- 3
The divisors add up to 99372; without 55268 itself that is 44104, so 55268 is deficient (44104 is less than 55268). Euler's totient φ(55268) = 26880 numbers up to 55268 share no factor with it.
- 4
The digits of 55268 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55268 = 2^{2} \times 41 \times 337 \]55268 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 99372 |
| Euler totient φ(n) | 26880 |
| Square | 3054551824 |
| Cube | 168818970208832 |
| Square root | 235.091472 (= 2√13817) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.5268 × |
55268 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand two hundred and sixty-eight |
| Binary (base 2) | 1101011111100100 |
| Octal (base 8) | 153744 |
| Hexadecimal (base 16) | D7E4 |
| Base 3 | 2210210222 |
| As time | 55268 seconds = 15 h 21 min 8 s |
Is 55268 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55268 ÷ 2 = 27634) | 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 (55268 ÷ 4 = 13817) | 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 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 | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 55268 a prime number?
No. 55268 = × 41 × 337, so it is divisible by 2.
What are the factors of 55268?
1, 2, 4, 41, 82, 164, 337, 674, 1348, 13817, 27634, 55268.
What is 55268 in binary?
1101011111100100 (hexadecimal D7E4, octal 153744).
What is the square root of 55268?
About 235.0915, exactly 2√13817.
Is 55268 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 55268?
It is a composite number with 12 divisors.