The number 2209
2209 is a perfect square (47²). Its prime factorisation is . Divisors (3): 1, 47, 2209.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2209: a perfect square (47²); the square of a prime (47²).
- 2
2209 is composite. Its prime factorisation is
- 3
The divisors add up to 2257; without 2209 itself that is 48, so 2209 is deficient (48 is less than 2209). Euler's totient φ(2209) = 2162 numbers up to 2209 share no factor with it.
- 4
The digits of 2209 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2209 = 47^{2} \]2209 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 3 |
| Sum of divisors | 2257 |
| Euler totient φ(n) | 2162 |
| Square | 4879681 |
| Cube | 10779215329 |
| Square root | 47 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 76 |
| Scientific notation | 2.209 × |
| Perfect power |
2209 in other forms
| Form | Value |
|---|---|
| In words | two thousand two hundred and nine |
| Roman numerals | MMCCIX |
| Binary (base 2) | 100010100001 |
| Octal (base 8) | 4241 |
| Hexadecimal (base 16) | 8A1 |
| Base 3 | 10000211 |
| As time | 2209 seconds = 36 min 49 s |
Is 2209 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 1) | 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 1) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2209 a prime number?
No. 2209 = , so it is divisible by 47.
What are the factors of 2209?
1, 47, 2209.
What is 2209 in binary?
100010100001 (hexadecimal 8A1, octal 4241).
What is the square root of 2209?
47, because 47 × 47 = 2209.
What is 2209 in Roman numerals?
MMCCIX.
Is 2209 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 2209?
2209 is a perfect square (47²); the square of a prime (47²).