The number 40082
40082 is a composite number with 12 divisors. Its prime factorisation is 2 × × 409. Divisors (12): 1, 2, 7, 14, 49, 98, 409, 818, 2863, 5726, 20041, 40082.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40082: a Harshad number: divisible by its digit sum 14.
- 2
40082 is composite. Its prime factorisation is
- 3
The divisors add up to 70110; without 40082 itself that is 30028, so 40082 is deficient (30028 is less than 40082). Euler's totient φ(40082) = 17136 numbers up to 40082 share no factor with it.
- 4
The digits of 40082 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 212 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40082 = 2 \times 7^{2} \times 409 \]40082 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 70110 |
| Euler totient φ(n) | 17136 |
| Square | 1606566724 |
| Cube | 64394407431368 |
| Square root | 200.204895 (= 7√818) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 212 |
| Scientific notation | 4.0082 × |
40082 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and eighty-two |
| Binary (base 2) | 1001110010010010 |
| Octal (base 8) | 116222 |
| Hexadecimal (base 16) | 9C92 |
| Base 3 | 2000222112 |
| As time | 40082 seconds = 11 h 8 min 2 s |
Is 40082 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40082 ÷ 2 = 20041) | 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 | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (40082 ÷ 7 = 5726) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40082 a prime number?
No. 40082 = 2 × × 409, so it is divisible by 2.
What are the factors of 40082?
1, 2, 7, 14, 49, 98, 409, 818, 2863, 5726, 20041, 40082.
What is 40082 in binary?
1001110010010010 (hexadecimal 9C92, octal 116222).
What is the square root of 40082?
About 200.2049, exactly 7√818.
Is 40082 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 40082?
40082 is a Harshad number: divisible by its digit sum 14.