The number 55776
55776 is a composite number with 48 divisors. Its prime factorisation is × 3 × 7 × 83. Divisors (48): 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48 … 55776.
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How to work it out
- 1
55776 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55776 is composite. Its prime factorisation is
- 3
The divisors add up to 169344; without 55776 itself that is 113568, so 55776 is abundant (113568 is more than 55776). Euler's totient φ(55776) = 15744 numbers up to 55776 share no factor with it.
- 4
The digits of 55776 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55776 = 2^{5} \times 3 \times 7 \times 83 \]55776 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 169344 |
| Euler totient φ(n) | 15744 |
| Square | 3110962176 |
| Cube | 173517026328576 |
| Square root | 236.169431 (= 4√3486) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 184 |
| Scientific notation | 5.5776 × |
55776 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand seven hundred and seventy-six |
| Binary (base 2) | 1101100111100000 |
| Octal (base 8) | 154740 |
| Hexadecimal (base 16) | D9E0 |
| Base 3 | 2211111210 |
| As time | 55776 seconds = 15 h 29 min 36 s |
Is 55776 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55776 ÷ 2 = 27888) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55776 ÷ 3 = 18592) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55776 ÷ 4 = 13944) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55776 ÷ 6 = 9296) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (55776 ÷ 7 = 7968) | 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 (55776 ÷ 8 = 6972) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55776 ÷ 12 = 4648) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55776 a prime number?
No. 55776 = × 3 × 7 × 83, so it is divisible by 2.
What are the factors of 55776?
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 83, 84, 96, 112, 166, 168, 224, 249, 332, 336, 498, 581, 664, 672, 996, 1162, 1328, 1743, 1992, 2324, 2656, 3486, 3984, 4648, 6972, 7968, 9296, 13944, 18592, 27888, 55776.
What is 55776 in binary?
1101100111100000 (hexadecimal D9E0, octal 154740).
What is the square root of 55776?
About 236.1694, exactly 4√3486.
Is 55776 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 55776?
It is a composite number with 48 divisors.