The number 8088
8088 is a composite number with 16 divisors. Its prime factorisation is × 3 × 337. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 337, 674, 1011, 1348, 2022, 2696, 4044, 8088.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8088: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 24.
- 2
8088 is composite. Its prime factorisation is
- 3
The divisors add up to 20280; without 8088 itself that is 12192, so 8088 is abundant (12192 is more than 8088). Euler's totient φ(8088) = 2688 numbers up to 8088 share no factor with it.
- 4
The digits of 8088 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8088 = 2^{3} \times 3 \times 337 \]8088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 20280 |
| Euler totient φ(n) | 2688 |
| Square | 65415744 |
| Cube | 529082537472 |
| Square root | 89.933309 (= 2√2022) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 65 |
| Scientific notation | 8.088 × |
8088 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and eighty-eight |
| Binary (base 2) | 1111110011000 |
| Octal (base 8) | 17630 |
| Hexadecimal (base 16) | 1F98 |
| Base 3 | 102002120 |
| As time | 8088 seconds = 2 h 14 min 48 s |
Is 8088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8088 ÷ 2 = 4044) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8088 ÷ 3 = 2696) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8088 ÷ 4 = 2022) | 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 (8088 ÷ 6 = 1348) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (8088 ÷ 8 = 1011) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (8088 ÷ 12 = 674) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8088 a prime number?
No. 8088 = × 3 × 337, so it is divisible by 2.
What are the factors of 8088?
1, 2, 3, 4, 6, 8, 12, 24, 337, 674, 1011, 1348, 2022, 2696, 4044, 8088.
What is 8088 in binary?
1111110011000 (hexadecimal 1F98, octal 17630).
What is the square root of 8088?
About 89.9333, exactly 2√2022.
Is 8088 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 8088?
8088 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 24.