The number 40182
40182 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 37 × 181. Divisors (16): 1, 2, 3, 6, 37, 74, 111, 181, 222, 362, 543, 1086, 6697, 13394, 20091, 40182.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40182 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40182 is composite. Its prime factorisation is
- 3
The divisors add up to 82992; without 40182 itself that is 42810, so 40182 is abundant (42810 is more than 40182). Euler's totient φ(40182) = 12960 numbers up to 40182 share no factor with it.
- 4
The digits of 40182 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40182 = 2 \times 3 \times 37 \times 181 \]
40182 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 82992 |
| Euler totient φ(n) | 12960 |
| Square | 1614593124 |
| Cube | 64877580908568 |
| Square root | 200.454484 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.0182 × |
40182 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and eighty-two |
| Binary (base 2) | 1001110011110110 |
| Octal (base 8) | 116366 |
| Hexadecimal (base 16) | 9CF6 |
| Base 3 | 2001010020 |
| As time | 40182 seconds = 11 h 9 min 42 s |
Is 40182 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40182 ÷ 2 = 20091) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40182 ÷ 3 = 13394) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (40182 ÷ 6 = 6697) | 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 6) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40182 a prime number?
No. 40182 = 2 × 3 × 37 × 181, so it is divisible by 2.
What are the factors of 40182?
1, 2, 3, 6, 37, 74, 111, 181, 222, 362, 543, 1086, 6697, 13394, 20091, 40182.
What is 40182 in binary?
1001110011110110 (hexadecimal 9CF6, octal 116366).
What is the square root of 40182?
About 200.4545.
Is 40182 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 40182?
It is a composite number with 16 divisors.