The number 40088
40088 is a composite number with 8 divisors. Its prime factorisation is × 5011. Divisors (8): 1, 2, 4, 8, 5011, 10022, 20044, 40088.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40088 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40088 is composite. Its prime factorisation is
- 3
The divisors add up to 75180; without 40088 itself that is 35092, so 40088 is deficient (35092 is less than 40088). Euler's totient φ(40088) = 20040 numbers up to 40088 share no factor with it.
- 4
The digits of 40088 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 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40088 = 2^{3} \times 5011 \]40088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 75180 |
| Euler totient φ(n) | 20040 |
| Square | 1607047744 |
| Cube | 64423329961472 |
| Square root | 200.219879 (= 2√10022) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 93 |
| Scientific notation | 4.0088 × |
40088 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and eighty-eight |
| Binary (base 2) | 1001110010011000 |
| Octal (base 8) | 116230 |
| Hexadecimal (base 16) | 9C98 |
| Base 3 | 2000222202 |
| As time | 40088 seconds = 11 h 8 min 8 s |
Is 40088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40088 ÷ 2 = 20044) | 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 (40088 ÷ 4 = 10022) | 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 6) | 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 (40088 ÷ 8 = 5011) | 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 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 40088 a prime number?
No. 40088 = × 5011, so it is divisible by 2.
What are the factors of 40088?
1, 2, 4, 8, 5011, 10022, 20044, 40088.
What is 40088 in binary?
1001110010011000 (hexadecimal 9C98, octal 116230).
What is the square root of 40088?
About 200.2199, exactly 2√10022.
Is 40088 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 40088?
It is a composite number with 8 divisors.