The number 55368
55368 is a composite number with 24 divisors. Its prime factorisation is × × 769. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 769, 1538, 2307, 3076 … 55368.
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How to work it out
- 1
55368 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55368 is composite. Its prime factorisation is
- 3
The divisors add up to 150150; without 55368 itself that is 94782, so 55368 is abundant (94782 is more than 55368). Euler's totient φ(55368) = 18432 numbers up to 55368 share no factor with it.
- 4
The digits of 55368 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55368 = 2^{3} \times 3^{2} \times 769 \]55368 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 150150 |
| Euler totient φ(n) | 18432 |
| Square | 3065615424 |
| Cube | 169736994796032 |
| Square root | 235.304059 (= 6√1538) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.5368 × |
55368 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and sixty-eight |
| Binary (base 2) | 1101100001001000 |
| Octal (base 8) | 154110 |
| Hexadecimal (base 16) | D848 |
| Base 3 | 2210221200 |
| As time | 55368 seconds = 15 h 22 min 48 s |
Is 55368 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55368 ÷ 2 = 27684) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55368 ÷ 3 = 18456) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55368 ÷ 4 = 13842) | 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 (55368 ÷ 6 = 9228) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (55368 ÷ 8 = 6921) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (55368 ÷ 9 = 6152) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55368 ÷ 12 = 4614) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55368 a prime number?
No. 55368 = × × 769, so it is divisible by 2.
What are the factors of 55368?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 769, 1538, 2307, 3076, 4614, 6152, 6921, 9228, 13842, 18456, 27684, 55368.
What is 55368 in binary?
1101100001001000 (hexadecimal D848, octal 154110).
What is the square root of 55368?
About 235.3041, exactly 6√1538.
Is 55368 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 55368?
It is a composite number with 24 divisors.