The number 55784
55784 is a composite number with 16 divisors. Its prime factorisation is × 19 × 367. Divisors (16): 1, 2, 4, 8, 19, 38, 76, 152, 367, 734, 1468, 2936, 6973, 13946, 27892, 55784.
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How to work it out
- 1
55784 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55784 is composite. Its prime factorisation is
- 3
The divisors add up to 110400; without 55784 itself that is 54616, so 55784 is deficient (54616 is less than 55784). Euler's totient φ(55784) = 26352 numbers up to 55784 share no factor with it.
- 4
The digits of 55784 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55784 = 2^{3} \times 19 \times 367 \]55784 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 110400 |
| Euler totient φ(n) | 26352 |
| Square | 3111854656 |
| Cube | 173591700130304 |
| Square root | 236.186367 (= 2√13946) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 184 |
| Scientific notation | 5.5784 × |
55784 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand seven hundred and eighty-four |
| Binary (base 2) | 1101100111101000 |
| Octal (base 8) | 154750 |
| Hexadecimal (base 16) | D9E8 |
| Base 3 | 2211112002 |
| As time | 55784 seconds = 15 h 29 min 44 s |
Is 55784 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55784 ÷ 2 = 27892) | 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 (55784 ÷ 4 = 13946) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 (55784 ÷ 8 = 6973) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55784 a prime number?
No. 55784 = × 19 × 367, so it is divisible by 2.
What are the factors of 55784?
1, 2, 4, 8, 19, 38, 76, 152, 367, 734, 1468, 2936, 6973, 13946, 27892, 55784.
What is 55784 in binary?
1101100111101000 (hexadecimal D9E8, octal 154750).
What is the square root of 55784?
About 236.1864, exactly 2√13946.
Is 55784 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 55784?
It is a composite number with 16 divisors.