The number 55360
55360 is a composite number with 28 divisors. Its prime factorisation is × 5 × 173. Divisors (28): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 173, 320, 346 … 55360.
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How to work it out
- 1
55360 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55360 is composite. Its prime factorisation is
- 3
The divisors add up to 132588; without 55360 itself that is 77228, so 55360 is abundant (77228 is more than 55360). Euler's totient φ(55360) = 22016 numbers up to 55360 share no factor with it.
- 4
The digits of 55360 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55360 = 2^{6} \times 5 \times 173 \]55360 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 132588 |
| Euler totient φ(n) | 22016 |
| Square | 3064729600 |
| Cube | 169663430656000 |
| Square root | 235.287059 (= 8√865) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.536 × |
55360 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and sixty |
| Binary (base 2) | 1101100001000000 |
| Octal (base 8) | 154100 |
| Hexadecimal (base 16) | D840 |
| Base 3 | 2210221101 |
| As time | 55360 seconds = 15 h 22 min 40 s |
Is 55360 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55360 ÷ 2 = 27680) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55360 ÷ 4 = 13840) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55360 ÷ 5 = 11072) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (55360 ÷ 8 = 6920) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (55360 ÷ 10 = 5536) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55360 a prime number?
No. 55360 = × 5 × 173, so it is divisible by 2.
What are the factors of 55360?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 173, 320, 346, 692, 865, 1384, 1730, 2768, 3460, 5536, 6920, 11072, 13840, 27680, 55360.
What is 55360 in binary?
1101100001000000 (hexadecimal D840, octal 154100).
What is the square root of 55360?
About 235.2871, exactly 8√865.
Is 55360 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 55360?
It is a composite number with 28 divisors.