The number 55280
55280 is a composite number with 20 divisors. Its prime factorisation is × 5 × 691. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 691, 1382, 2764, 3455, 5528, 6910 … 55280.
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How to work it out
- 1
What is special about 55280: a Harshad number: divisible by its digit sum 20.
- 2
55280 is composite. Its prime factorisation is
- 3
The divisors add up to 128712; without 55280 itself that is 73432, so 55280 is abundant (73432 is more than 55280). Euler's totient φ(55280) = 22080 numbers up to 55280 share no factor with it.
- 4
The digits of 55280 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55280 = 2^{4} \times 5 \times 691 \]55280 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 128712 |
| Euler totient φ(n) | 22080 |
| Square | 3055878400 |
| Cube | 168928957952000 |
| Square root | 235.116992 (= 4√3455) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.528 × |
55280 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand two hundred and eighty |
| Binary (base 2) | 1101011111110000 |
| Octal (base 8) | 153760 |
| Hexadecimal (base 16) | D7F0 |
| Base 3 | 2210211102 |
| As time | 55280 seconds = 15 h 21 min 20 s |
Is 55280 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55280 ÷ 2 = 27640) | 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 (55280 ÷ 4 = 13820) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55280 ÷ 5 = 11056) | 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 (55280 ÷ 8 = 6910) | 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 | Yes (55280 ÷ 10 = 5528) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55280 a prime number?
No. 55280 = × 5 × 691, so it is divisible by 2.
What are the factors of 55280?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 691, 1382, 2764, 3455, 5528, 6910, 11056, 13820, 27640, 55280.
What is 55280 in binary?
1101011111110000 (hexadecimal D7F0, octal 153760).
What is the square root of 55280?
About 235.1170, exactly 4√3455.
Is 55280 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 55280?
55280 is a Harshad number: divisible by its digit sum 20.