The number 2088
2088 is a composite number with 24 divisors. Its prime factorisation is × × 29. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 29, 36, 58, 72, 87, 116 … 2088.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2088: a Harshad number: divisible by its digit sum 18.
- 2
2088 is composite. Its prime factorisation is
- 3
The divisors add up to 5850; without 2088 itself that is 3762, so 2088 is abundant (3762 is more than 2088). Euler's totient φ(2088) = 672 numbers up to 2088 share no factor with it.
- 4
The digits of 2088 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2088 = 2^{3} \times 3^{2} \times 29 \]2088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 5850 |
| Euler totient φ(n) | 672 |
| Square | 4359744 |
| Cube | 9103145472 |
| Square root | 45.694639 (= 6√58) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 32 |
| Scientific notation | 2.088 × |
2088 in other forms
| Form | Value |
|---|---|
| In words | two thousand and eighty-eight |
| Roman numerals | MMLXXXVIII |
| Binary (base 2) | 100000101000 |
| Octal (base 8) | 4050 |
| Hexadecimal (base 16) | 828 |
| Base 3 | 2212100 |
| As time | 2088 seconds = 34 min 48 s |
Is 2088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2088 ÷ 2 = 1044) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2088 ÷ 3 = 696) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2088 ÷ 4 = 522) | 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 | Yes (2088 ÷ 6 = 348) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (2088 ÷ 8 = 261) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (2088 ÷ 9 = 232) | 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 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (2088 ÷ 12 = 174) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2088 a prime number?
No. 2088 = × × 29, so it is divisible by 2.
What are the factors of 2088?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 29, 36, 58, 72, 87, 116, 174, 232, 261, 348, 522, 696, 1044, 2088.
What is 2088 in binary?
100000101000 (hexadecimal 828, octal 4050).
What is the square root of 2088?
About 45.6946, exactly 6√58.
What is 2088 in Roman numerals?
MMLXXXVIII.
Is 2088 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 2088?
2088 is a Harshad number: divisible by its digit sum 18.