The number 2189
2189 is a composite number with 4 divisors. Its prime factorisation is 11 × 199. Divisors (4): 1, 11, 199, 2189.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2189: a semiprime: 11 × 199, the product of two primes.
- 2
2189 is composite. Its prime factorisation is
- 3
The divisors add up to 2400; without 2189 itself that is 211, so 2189 is deficient (211 is less than 2189). Euler's totient φ(2189) = 1980 numbers up to 2189 share no factor with it.
- 4
The digits of 2189 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 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2189 = 11 \times 199 \]
2189 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 2400 |
| Euler totient φ(n) | 1980 |
| Square | 4791721 |
| Cube | 10489077269 |
| Square root | 46.786750 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 32 |
| Scientific notation | 2.189 × |
2189 in other forms
| Form | Value |
|---|---|
| In words | two thousand one hundred and eighty-nine |
| Roman numerals | MMCLXXXIX |
| Binary (base 2) | 100010001101 |
| Octal (base 8) | 4215 |
| Hexadecimal (base 16) | 88D |
| Base 3 | 10000002 |
| As time | 2189 seconds = 36 min 29 s |
Is 2189 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 | No (remainder 5) | 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 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (2189 ÷ 11 = 199) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2189 a prime number?
No. 2189 = 11 × 199, so it is divisible by 11.
What are the factors of 2189?
1, 11, 199, 2189.
What is 2189 in binary?
100010001101 (hexadecimal 88D, octal 4215).
What is the square root of 2189?
About 46.7868.
What is 2189 in Roman numerals?
MMCLXXXIX.
Is 2189 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 2189?
2189 is a semiprime: 11 × 199, the product of two primes.