The number 3088
3088 is a composite number with 10 divisors. Its prime factorisation is × 193. Divisors (10): 1, 2, 4, 8, 16, 193, 386, 772, 1544, 3088.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3088 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3088 is composite. Its prime factorisation is
- 3
The divisors add up to 6014; without 3088 itself that is 2926, so 3088 is deficient (2926 is less than 3088). Euler's totient φ(3088) = 1536 numbers up to 3088 share no factor with it.
- 4
The digits of 3088 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 123 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3088 = 2^{4} \times 193 \]3088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 6014 |
| Euler totient φ(n) | 1536 |
| Square | 9535744 |
| Cube | 29446377472 |
| Square root | 55.569776 (= 4√193) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 123 |
| Scientific notation | 3.088 × |
3088 in other forms
| Form | Value |
|---|---|
| In words | three thousand and eighty-eight |
| Roman numerals | MMMLXXXVIII |
| Binary (base 2) | 110000010000 |
| Octal (base 8) | 6020 |
| Hexadecimal (base 16) | C10 |
| Base 3 | 11020101 |
| As time | 3088 seconds = 51 min 28 s |
Is 3088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3088 ÷ 2 = 1544) | 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 | Yes (3088 ÷ 4 = 772) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (3088 ÷ 8 = 386) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3088 a prime number?
No. 3088 = × 193, so it is divisible by 2.
What are the factors of 3088?
1, 2, 4, 8, 16, 193, 386, 772, 1544, 3088.
What is 3088 in binary?
110000010000 (hexadecimal C10, octal 6020).
What is the square root of 3088?
About 55.5698, exactly 4√193.
What is 3088 in Roman numerals?
MMMLXXXVIII.
Is 3088 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 3088?
It is a composite number with 10 divisors.