The number 7088
7088 is a composite number with 10 divisors. Its prime factorisation is × 443. Divisors (10): 1, 2, 4, 8, 16, 443, 886, 1772, 3544, 7088.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7088 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7088 is composite. Its prime factorisation is
- 3
The divisors add up to 13764; without 7088 itself that is 6676, so 7088 is deficient (6676 is less than 7088). Euler's totient φ(7088) = 3536 numbers up to 7088 share no factor with it.
- 4
The digits of 7088 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7088 = 2^{4} \times 443 \]7088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 13764 |
| Euler totient φ(n) | 3536 |
| Square | 50239744 |
| Cube | 356099305472 |
| Square root | 84.190261 (= 4√443) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 57 |
| Scientific notation | 7.088 × |
7088 in other forms
| Form | Value |
|---|---|
| In words | seven thousand and eighty-eight |
| Binary (base 2) | 1101110110000 |
| Octal (base 8) | 15660 |
| Hexadecimal (base 16) | 1BB0 |
| Base 3 | 100201112 |
| As time | 7088 seconds = 1 h 58 min 8 s |
Is 7088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7088 ÷ 2 = 3544) | 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 (7088 ÷ 4 = 1772) | 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 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 | Yes (7088 ÷ 8 = 886) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 4) | 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 7088 a prime number?
No. 7088 = × 443, so it is divisible by 2.
What are the factors of 7088?
1, 2, 4, 8, 16, 443, 886, 1772, 3544, 7088.
What is 7088 in binary?
1101110110000 (hexadecimal 1BB0, octal 15660).
What is the square root of 7088?
About 84.1903, exactly 4√443.
Is 7088 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 7088?
It is a composite number with 10 divisors.