The number 4982
4982 is a composite number with 8 divisors. Its prime factorisation is 2 × 47 × 53. Divisors (8): 1, 2, 47, 53, 94, 106, 2491, 4982.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4982 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4982 is composite. Its prime factorisation is
- 3
The divisors add up to 7776; without 4982 itself that is 2794, so 4982 is deficient (2794 is less than 4982). Euler's totient φ(4982) = 2392 numbers up to 4982 share no factor with it.
- 4
The digits of 4982 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 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4982 = 2 \times 47 \times 53 \]
4982 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 7776 |
| Euler totient φ(n) | 2392 |
| Square | 24820324 |
| Cube | 123654854168 |
| Square root | 70.583284 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 103 |
| Scientific notation | 4.982 × |
4982 in other forms
| Form | Value |
|---|---|
| In words | four thousand nine hundred and eighty-two |
| Binary (base 2) | 1001101110110 |
| Octal (base 8) | 11566 |
| Hexadecimal (base 16) | 1376 |
| Base 3 | 20211112 |
| As time | 4982 seconds = 1 h 23 min 2 s |
Is 4982 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4982 ÷ 2 = 2491) | 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 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 | 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 10) | 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 4982 a prime number?
No. 4982 = 2 × 47 × 53, so it is divisible by 2.
What are the factors of 4982?
1, 2, 47, 53, 94, 106, 2491, 4982.
What is 4982 in binary?
1001101110110 (hexadecimal 1376, octal 11566).
What is the square root of 4982?
About 70.5833.
Is 4982 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 4982?
It is a composite number with 8 divisors.