The number 5982
5982 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 997. Divisors (8): 1, 2, 3, 6, 997, 1994, 2991, 5982.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5982 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5982 is composite. Its prime factorisation is
- 3
The divisors add up to 11976; without 5982 itself that is 5994, so 5982 is abundant (5994 is more than 5982). Euler's totient φ(5982) = 1992 numbers up to 5982 share no factor with it.
- 4
The digits of 5982 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5982 = 2 \times 3 \times 997 \]
5982 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 11976 |
| Euler totient φ(n) | 1992 |
| Square | 35784324 |
| Cube | 214061826168 |
| Square root | 77.343390 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 49 |
| Scientific notation | 5.982 × |
5982 in other forms
| Form | Value |
|---|---|
| In words | five thousand nine hundred and eighty-two |
| Binary (base 2) | 1011101011110 |
| Octal (base 8) | 13536 |
| Hexadecimal (base 16) | 175E |
| Base 3 | 22012120 |
| As time | 5982 seconds = 1 h 39 min 42 s |
Is 5982 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5982 ÷ 2 = 2991) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5982 ÷ 3 = 1994) | 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 (5982 ÷ 6 = 997) | 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 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 9) | 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 5982 a prime number?
No. 5982 = 2 × 3 × 997, so it is divisible by 2.
What are the factors of 5982?
1, 2, 3, 6, 997, 1994, 2991, 5982.
What is 5982 in binary?
1011101011110 (hexadecimal 175E, octal 13536).
What is the square root of 5982?
About 77.3434.
Is 5982 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 5982?
It is a composite number with 8 divisors.