The number 11080
11080 is a composite number with 16 divisors. Its prime factorisation is × 5 × 277. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 277, 554, 1108, 1385, 2216, 2770, 5540, 11080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11080: a Harshad number: divisible by its digit sum 10.
- 2
11080 is composite. Its prime factorisation is
- 3
The divisors add up to 25020; without 11080 itself that is 13940, so 11080 is abundant (13940 is more than 11080). Euler's totient φ(11080) = 4416 numbers up to 11080 share no factor with it.
- 4
The digits of 11080 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11080 = 2^{3} \times 5 \times 277 \]11080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 25020 |
| Euler totient φ(n) | 4416 |
| Square | 122766400 |
| Cube | 1360251712000 |
| Square root | 105.261579 (= 2√2770) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 68 |
| Scientific notation | 1.108 × |
11080 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand and eighty |
| Binary (base 2) | 10101101001000 |
| Octal (base 8) | 25510 |
| Hexadecimal (base 16) | 2B48 |
| Base 3 | 120012101 |
| As time | 11080 seconds = 3 h 4 min 40 s |
Is 11080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11080 ÷ 2 = 5540) | 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 (11080 ÷ 4 = 2770) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (11080 ÷ 5 = 2216) | 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 6) | 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 (11080 ÷ 8 = 1385) | 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 (11080 ÷ 10 = 1108) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 11080 a prime number?
No. 11080 = × 5 × 277, so it is divisible by 2.
What are the factors of 11080?
1, 2, 4, 5, 8, 10, 20, 40, 277, 554, 1108, 1385, 2216, 2770, 5540, 11080.
What is 11080 in binary?
10101101001000 (hexadecimal 2B48, octal 25510).
What is the square root of 11080?
About 105.2616, exactly 2√2770.
Is 11080 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 11080?
11080 is a Harshad number: divisible by its digit sum 10.