The number 55760
55760 is a composite number with 40 divisors. Its prime factorisation is × 5 × 17 × 41. Divisors (40): 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 41, 68, 80, 82, 85 … 55760.
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How to work it out
- 1
55760 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55760 is composite. Its prime factorisation is
- 3
The divisors add up to 140616; without 55760 itself that is 84856, so 55760 is abundant (84856 is more than 55760). Euler's totient φ(55760) = 20480 numbers up to 55760 share no factor with it.
- 4
The digits of 55760 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55760 = 2^{4} \times 5 \times 17 \times 41 \]55760 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 140616 |
| Euler totient φ(n) | 20480 |
| Square | 3109177600 |
| Cube | 173367742976000 |
| Square root | 236.135554 (= 4√3485) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 184 |
| Scientific notation | 5.576 × |
55760 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand seven hundred and sixty |
| Binary (base 2) | 1101100111010000 |
| Octal (base 8) | 154720 |
| Hexadecimal (base 16) | D9D0 |
| Base 3 | 2211111012 |
| As time | 55760 seconds = 15 h 29 min 20 s |
Is 55760 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55760 ÷ 2 = 27880) | 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 (55760 ÷ 4 = 13940) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55760 ÷ 5 = 11152) | 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 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 (55760 ÷ 8 = 6970) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (55760 ÷ 10 = 5576) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 55760 a prime number?
No. 55760 = × 5 × 17 × 41, so it is divisible by 2.
What are the factors of 55760?
1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 41, 68, 80, 82, 85, 136, 164, 170, 205, 272, 328, 340, 410, 656, 680, 697, 820, 1360, 1394, 1640, 2788, 3280, 3485, 5576, 6970, 11152, 13940, 27880, 55760.
What is 55760 in binary?
1101100111010000 (hexadecimal D9D0, octal 154720).
What is the square root of 55760?
About 236.1356, exactly 4√3485.
Is 55760 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 55760?
It is a composite number with 40 divisors.