The number 40188
40188 is a composite number with 24 divisors. Its prime factorisation is × 3 × 17 × 197. Divisors (24): 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 197, 204, 394, 591, 788 … 40188.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40188 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40188 is composite. Its prime factorisation is
- 3
The divisors add up to 99792; without 40188 itself that is 59604, so 40188 is abundant (59604 is more than 40188). Euler's totient φ(40188) = 12544 numbers up to 40188 share no factor with it.
- 4
The digits of 40188 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40188 = 2^{2} \times 3 \times 17 \times 197 \]40188 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 99792 |
| Euler totient φ(n) | 12544 |
| Square | 1615075344 |
| Cube | 64906647924672 |
| Square root | 200.469449 (= 2√10047) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 93 |
| Scientific notation | 4.0188 × |
40188 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and eighty-eight |
| Binary (base 2) | 1001110011111100 |
| Octal (base 8) | 116374 |
| Hexadecimal (base 16) | 9CFC |
| Base 3 | 2001010110 |
| As time | 40188 seconds = 11 h 9 min 48 s |
Is 40188 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40188 ÷ 2 = 20094) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40188 ÷ 3 = 13396) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40188 ÷ 4 = 10047) | 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 (40188 ÷ 6 = 6698) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (40188 ÷ 12 = 3349) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40188 a prime number?
No. 40188 = × 3 × 17 × 197, so it is divisible by 2.
What are the factors of 40188?
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 197, 204, 394, 591, 788, 1182, 2364, 3349, 6698, 10047, 13396, 20094, 40188.
What is 40188 in binary?
1001110011111100 (hexadecimal 9CFC, octal 116374).
What is the square root of 40188?
About 200.4694, exactly 2√10047.
Is 40188 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 40188?
It is a composite number with 24 divisors.