The number 2180
2180 is a composite number with 12 divisors. Its prime factorisation is × 5 × 109. Divisors (12): 1, 2, 4, 5, 10, 20, 109, 218, 436, 545, 1090, 2180.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2180 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2180 is composite. Its prime factorisation is
- 3
The divisors add up to 4620; without 2180 itself that is 2440, so 2180 is abundant (2440 is more than 2180). Euler's totient φ(2180) = 864 numbers up to 2180 share no factor with it.
- 4
The digits of 2180 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2180 = 2^{2} \times 5 \times 109 \]2180 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 4620 |
| Euler totient φ(n) | 864 |
| Square | 4752400 |
| Cube | 10360232000 |
| Square root | 46.690470 (= 2√545) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 45 |
| Scientific notation | 2.18 × |
2180 in other forms
| Form | Value |
|---|---|
| In words | two thousand one hundred and eighty |
| Roman numerals | MMCLXXX |
| Binary (base 2) | 100010000100 |
| Octal (base 8) | 4204 |
| Hexadecimal (base 16) | 884 |
| Base 3 | 2222202 |
| As time | 2180 seconds = 36 min 20 s |
Is 2180 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2180 ÷ 2 = 1090) | 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 (2180 ÷ 4 = 545) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (2180 ÷ 5 = 436) | 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 3) | 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 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (2180 ÷ 10 = 218) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 2180 a prime number?
No. 2180 = × 5 × 109, so it is divisible by 2.
What are the factors of 2180?
1, 2, 4, 5, 10, 20, 109, 218, 436, 545, 1090, 2180.
What is 2180 in binary?
100010000100 (hexadecimal 884, octal 4204).
What is the square root of 2180?
About 46.6905, exactly 2√545.
What is 2180 in Roman numerals?
MMCLXXX.
Is 2180 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 2180?
It is a composite number with 12 divisors.