The number 3982
3982 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 181. Divisors (8): 1, 2, 11, 22, 181, 362, 1991, 3982.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3982: a Harshad number: divisible by its digit sum 22.
- 2
3982 is composite. Its prime factorisation is
- 3
The divisors add up to 6552; without 3982 itself that is 2570, so 3982 is deficient (2570 is less than 3982). Euler's totient φ(3982) = 1800 numbers up to 3982 share no factor with it.
- 4
The digits of 3982 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3982 = 2 \times 11 \times 181 \]
3982 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6552 |
| Euler totient φ(n) | 1800 |
| Square | 15856324 |
| Cube | 63139882168 |
| Square root | 63.103090 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 51 |
| Scientific notation | 3.982 × |
3982 in other forms
| Form | Value |
|---|---|
| In words | three thousand nine hundred and eighty-two |
| Roman numerals | MMMCMLXXXII |
| Binary (base 2) | 111110001110 |
| Octal (base 8) | 7616 |
| Hexadecimal (base 16) | F8E |
| Base 3 | 12110111 |
| As time | 3982 seconds = 1 h 6 min 22 s |
Is 3982 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3982 ÷ 2 = 1991) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | 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 | Yes (3982 ÷ 11 = 362) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3982 a prime number?
No. 3982 = 2 × 11 × 181, so it is divisible by 2.
What are the factors of 3982?
1, 2, 11, 22, 181, 362, 1991, 3982.
What is 3982 in binary?
111110001110 (hexadecimal F8E, octal 7616).
What is the square root of 3982?
About 63.1031.
What is 3982 in Roman numerals?
MMMCMLXXXII.
Is 3982 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 3982?
3982 is a Harshad number: divisible by its digit sum 22.