The number 55764
55764 is a composite number with 18 divisors. Its prime factorisation is × × 1549. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1549, 3098, 4647, 6196, 9294, 13941, 18588 … 55764.
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How to work it out
- 1
55764 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55764 is composite. Its prime factorisation is
- 3
The divisors add up to 141050; without 55764 itself that is 85286, so 55764 is abundant (85286 is more than 55764). Euler's totient φ(55764) = 18576 numbers up to 55764 share no factor with it.
- 4
The digits of 55764 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 184 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55764 = 2^{2} \times 3^{2} \times 1549 \]55764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 141050 |
| Euler totient φ(n) | 18576 |
| Square | 3109623696 |
| Cube | 173405055783744 |
| Square root | 236.144024 (= 6√1549) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 184 |
| Scientific notation | 5.5764 × |
55764 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand seven hundred and sixty-four |
| Binary (base 2) | 1101100111010100 |
| Octal (base 8) | 154724 |
| Hexadecimal (base 16) | D9D4 |
| Base 3 | 2211111100 |
| As time | 55764 seconds = 15 h 29 min 24 s |
Is 55764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55764 ÷ 2 = 27882) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55764 ÷ 3 = 18588) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55764 ÷ 4 = 13941) | 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 | Yes (55764 ÷ 6 = 9294) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (55764 ÷ 9 = 6196) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55764 ÷ 12 = 4647) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55764 a prime number?
No. 55764 = × × 1549, so it is divisible by 2.
What are the factors of 55764?
1, 2, 3, 4, 6, 9, 12, 18, 36, 1549, 3098, 4647, 6196, 9294, 13941, 18588, 27882, 55764.
What is 55764 in binary?
1101100111010100 (hexadecimal D9D4, octal 154724).
What is the square root of 55764?
About 236.1440, exactly 6√1549.
Is 55764 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 55764?
It is a composite number with 18 divisors.