The number 53982
53982 is a composite number with 12 divisors. Its prime factorisation is 2 × × 2999. Divisors (12): 1, 2, 3, 6, 9, 18, 2999, 5998, 8997, 17994, 26991, 53982.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53982 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53982 is composite. Its prime factorisation is
- 3
The divisors add up to 117000; without 53982 itself that is 63018, so 53982 is abundant (63018 is more than 53982). Euler's totient φ(53982) = 17988 numbers up to 53982 share no factor with it.
- 4
The digits of 53982 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53982 = 2 \times 3^{2} \times 2999 \]53982 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 117000 |
| Euler totient φ(n) | 17988 |
| Square | 2914056324 |
| Cube | 157306588482168 |
| Square root | 232.340268 (= 3√5998) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.3982 × |
53982 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand nine hundred and eighty-two |
| Binary (base 2) | 1101001011011110 |
| Octal (base 8) | 151336 |
| Hexadecimal (base 16) | D2DE |
| Base 3 | 2202001100 |
| As time | 53982 seconds = 14 h 59 min 42 s |
Is 53982 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53982 ÷ 2 = 26991) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53982 ÷ 3 = 17994) | 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 (53982 ÷ 6 = 8997) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (53982 ÷ 9 = 5998) | 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 5) | 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 53982 a prime number?
No. 53982 = 2 × × 2999, so it is divisible by 2.
What are the factors of 53982?
1, 2, 3, 6, 9, 18, 2999, 5998, 8997, 17994, 26991, 53982.
What is 53982 in binary?
1101001011011110 (hexadecimal D2DE, octal 151336).
What is the square root of 53982?
About 232.3403, exactly 3√5998.
Is 53982 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 53982?
It is a composite number with 12 divisors.