The number 2288
2288 is a composite number with 20 divisors. Its prime factorisation is × 11 × 13. Divisors (20): 1, 2, 4, 8, 11, 13, 16, 22, 26, 44, 52, 88, 104, 143, 176, 208 … 2288.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2288 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2288 is composite. Its prime factorisation is
- 3
The divisors add up to 5208; without 2288 itself that is 2920, so 2288 is abundant (2920 is more than 2288). Euler's totient φ(2288) = 960 numbers up to 2288 share no factor with it.
- 4
The digits of 2288 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 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2288 = 2^{4} \times 11 \times 13 \]2288 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 5208 |
| Euler totient φ(n) | 960 |
| Square | 5234944 |
| Cube | 11977551872 |
| Square root | 47.833043 (= 4√143) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 107 |
| Scientific notation | 2.288 × |
2288 in other forms
| Form | Value |
|---|---|
| In words | two thousand two hundred and eighty-eight |
| Roman numerals | MMCCLXXXVIII |
| Binary (base 2) | 100011110000 |
| Octal (base 8) | 4360 |
| Hexadecimal (base 16) | 8F0 |
| Base 3 | 10010202 |
| As time | 2288 seconds = 38 min 8 s |
Is 2288 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2288 ÷ 2 = 1144) | 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 (2288 ÷ 4 = 572) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 (2288 ÷ 8 = 286) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (2288 ÷ 11 = 208) | 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 2288 a prime number?
No. 2288 = × 11 × 13, so it is divisible by 2.
What are the factors of 2288?
1, 2, 4, 8, 11, 13, 16, 22, 26, 44, 52, 88, 104, 143, 176, 208, 286, 572, 1144, 2288.
What is 2288 in binary?
100011110000 (hexadecimal 8F0, octal 4360).
What is the square root of 2288?
About 47.8330, exactly 4√143.
What is 2288 in Roman numerals?
MMCCLXXXVIII.
Is 2288 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 2288?
It is a composite number with 20 divisors.