The number 55068
55068 is a composite number with 24 divisors. Its prime factorisation is × 3 × 13 × 353. Divisors (24): 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 353, 706, 1059, 1412 … 55068.
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How to work it out
- 1
55068 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55068 is composite. Its prime factorisation is
- 3
The divisors add up to 138768; without 55068 itself that is 83700, so 55068 is abundant (83700 is more than 55068). Euler's totient φ(55068) = 16896 numbers up to 55068 share no factor with it.
- 4
The digits of 55068 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55068 = 2^{2} \times 3 \times 13 \times 353 \]55068 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 138768 |
| Euler totient φ(n) | 16896 |
| Square | 3032484624 |
| Cube | 166992863274432 |
| Square root | 234.665720 (= 2√13767) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.5068 × |
55068 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand and sixty-eight |
| Binary (base 2) | 1101011100011100 |
| Octal (base 8) | 153434 |
| Hexadecimal (base 16) | D71C |
| Base 3 | 2210112120 |
| As time | 55068 seconds = 15 h 17 min 48 s |
Is 55068 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55068 ÷ 2 = 27534) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55068 ÷ 3 = 18356) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55068 ÷ 4 = 13767) | 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 | Yes (55068 ÷ 6 = 9178) | 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 6) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55068 ÷ 12 = 4589) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55068 a prime number?
No. 55068 = × 3 × 13 × 353, so it is divisible by 2.
What are the factors of 55068?
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 353, 706, 1059, 1412, 2118, 4236, 4589, 9178, 13767, 18356, 27534, 55068.
What is 55068 in binary?
1101011100011100 (hexadecimal D71C, octal 153434).
What is the square root of 55068?
About 234.6657, exactly 2√13767.
Is 55068 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 55068?
It is a composite number with 24 divisors.