The number 4088
4088 is a composite number with 16 divisors. Its prime factorisation is × 7 × 73. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 73, 146, 292, 511, 584, 1022, 2044, 4088.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4088 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4088 is composite. Its prime factorisation is
- 3
The divisors add up to 8880; without 4088 itself that is 4792, so 4088 is abundant (4792 is more than 4088). Euler's totient φ(4088) = 1728 numbers up to 4088 share no factor with it.
- 4
The digits of 4088 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 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4088 = 2^{3} \times 7 \times 73 \]4088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 8880 |
| Euler totient φ(n) | 1728 |
| Square | 16711744 |
| Cube | 68317609472 |
| Square root | 63.937469 (= 2√1022) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 64 |
| Scientific notation | 4.088 × |
4088 in other forms
| Form | Value |
|---|---|
| In words | four thousand and eighty-eight |
| Binary (base 2) | 111111111000 |
| Octal (base 8) | 7770 |
| Hexadecimal (base 16) | FF8 |
| Base 3 | 12121102 |
| As time | 4088 seconds = 1 h 8 min 8 s |
Is 4088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4088 ÷ 2 = 2044) | 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 (4088 ÷ 4 = 1022) | 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 | Yes (4088 ÷ 7 = 584) | 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 (4088 ÷ 8 = 511) | 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 | No (remainder 7) | 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 4088 a prime number?
No. 4088 = × 7 × 73, so it is divisible by 2.
What are the factors of 4088?
1, 2, 4, 7, 8, 14, 28, 56, 73, 146, 292, 511, 584, 1022, 2044, 4088.
What is 4088 in binary?
111111111000 (hexadecimal FF8, octal 7770).
What is the square root of 4088?
About 63.9375, exactly 2√1022.
Is 4088 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 4088?
It is a composite number with 16 divisors.