The number 83982
83982 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 13997. Divisors (8): 1, 2, 3, 6, 13997, 27994, 41991, 83982.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83982 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83982 is composite. Its prime factorisation is
- 3
The divisors add up to 167976; without 83982 itself that is 83994, so 83982 is abundant (83994 is more than 83982). Euler's totient φ(83982) = 27992 numbers up to 83982 share no factor with it.
- 4
The digits of 83982 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83982 = 2 \times 3 \times 13997 \]
83982 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 167976 |
| Euler totient φ(n) | 27992 |
| Square | 7052976324 |
| Cube | 592323057642168 |
| Square root | 289.796480 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.3982 × |
83982 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand nine hundred and eighty-two |
| Binary (base 2) | 10100100000001110 |
| Octal (base 8) | 244016 |
| Hexadecimal (base 16) | 1480E |
| Base 3 | 11021012110 |
| As time | 83982 seconds = 23 h 19 min 42 s |
Is 83982 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83982 ÷ 2 = 41991) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (83982 ÷ 3 = 27994) | 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 (83982 ÷ 6 = 13997) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 3) | 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 8) | 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 83982 a prime number?
No. 83982 = 2 × 3 × 13997, so it is divisible by 2.
What are the factors of 83982?
1, 2, 3, 6, 13997, 27994, 41991, 83982.
What is 83982 in binary?
10100100000001110 (hexadecimal 1480E, octal 244016).
What is the square root of 83982?
About 289.7965.
Is 83982 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 83982?
It is a composite number with 8 divisors.