The number 40982
40982 is a composite number with 8 divisors. Its prime factorisation is 2 × 31 × 661. Divisors (8): 1, 2, 31, 62, 661, 1322, 20491, 40982.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40982 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40982 is composite. Its prime factorisation is
- 3
The divisors add up to 63552; without 40982 itself that is 22570, so 40982 is deficient (22570 is less than 40982). Euler's totient φ(40982) = 19800 numbers up to 40982 share no factor with it.
- 4
The digits of 40982 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40982 = 2 \times 31 \times 661 \]
40982 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 63552 |
| Euler totient φ(n) | 19800 |
| Square | 1679524324 |
| Cube | 68830265846168 |
| Square root | 202.440115 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.0982 × |
40982 in other forms
| Form | Value |
|---|---|
| In words | forty thousand nine hundred and eighty-two |
| Binary (base 2) | 1010000000010110 |
| Octal (base 8) | 120026 |
| Hexadecimal (base 16) | A016 |
| Base 3 | 2002012212 |
| As time | 40982 seconds = 11 h 23 min 2 s |
Is 40982 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40982 ÷ 2 = 20491) | 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 | No (remainder 4) | 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 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 7) | 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 40982 a prime number?
No. 40982 = 2 × 31 × 661, so it is divisible by 2.
What are the factors of 40982?
1, 2, 31, 62, 661, 1322, 20491, 40982.
What is 40982 in binary?
1010000000010110 (hexadecimal A016, octal 120026).
What is the square root of 40982?
About 202.4401.
Is 40982 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 40982?
It is a composite number with 8 divisors.