The number 40196
40196 is a composite number with 12 divisors. Its prime factorisation is × 13 × 773. Divisors (12): 1, 2, 4, 13, 26, 52, 773, 1546, 3092, 10049, 20098, 40196.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40196 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40196 is composite. Its prime factorisation is
- 3
The divisors add up to 75852; without 40196 itself that is 35656, so 40196 is deficient (35656 is less than 40196). Euler's totient φ(40196) = 18528 numbers up to 40196 share no factor with it.
- 4
The digits of 40196 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 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40196 = 2^{2} \times 13 \times 773 \]40196 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 75852 |
| Euler totient φ(n) | 18528 |
| Square | 1615718416 |
| Cube | 64945417449536 |
| Square root | 200.489401 (= 2√10049) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 137 |
| Scientific notation | 4.0196 × |
40196 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and ninety-six |
| Binary (base 2) | 1001110100000100 |
| Octal (base 8) | 116404 |
| Hexadecimal (base 16) | 9D04 |
| Base 3 | 2001010202 |
| As time | 40196 seconds = 11 h 9 min 56 s |
Is 40196 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40196 ÷ 2 = 20098) | 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 (40196 ÷ 4 = 10049) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 2) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 40196 a prime number?
No. 40196 = × 13 × 773, so it is divisible by 2.
What are the factors of 40196?
1, 2, 4, 13, 26, 52, 773, 1546, 3092, 10049, 20098, 40196.
What is 40196 in binary?
1001110100000100 (hexadecimal 9D04, octal 116404).
What is the square root of 40196?
About 200.4894, exactly 2√10049.
Is 40196 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 40196?
It is a composite number with 12 divisors.