The number 19982
19982 is a composite number with 8 divisors. Its prime factorisation is 2 × 97 × 103. Divisors (8): 1, 2, 97, 103, 194, 206, 9991, 19982.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
19982 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
19982 is composite. Its prime factorisation is
- 3
The divisors add up to 30576; without 19982 itself that is 10594, so 19982 is deficient (10594 is less than 19982). Euler's totient φ(19982) = 9792 numbers up to 19982 share no factor with it.
- 4
The digits of 19982 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 167 steps to reach 1.
LaTeX source of the formulas on this page
\[ 19982 = 2 \times 97 \times 103 \]
19982 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 30576 |
| Euler totient φ(n) | 9792 |
| Square | 399280324 |
| Cube | 7978419434168 |
| Square root | 141.357702 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 167 |
| Scientific notation | 1.9982 × |
19982 in other forms
| Form | Value |
|---|---|
| In words | nineteen thousand nine hundred and eighty-two |
| Binary (base 2) | 100111000001110 |
| Octal (base 8) | 47016 |
| Hexadecimal (base 16) | 4E0E |
| Base 3 | 1000102002 |
| As time | 19982 seconds = 5 h 33 min 2 s |
Is 19982 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (19982 ÷ 2 = 9991) | 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 2) | 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 6) | 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 19982 a prime number?
No. 19982 = 2 × 97 × 103, so it is divisible by 2.
What are the factors of 19982?
1, 2, 97, 103, 194, 206, 9991, 19982.
What is 19982 in binary?
100111000001110 (hexadecimal 4E0E, octal 47016).
What is the square root of 19982?
About 141.3577.
Is 19982 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 19982?
It is a composite number with 8 divisors.