The number 7982
7982 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 307. Divisors (8): 1, 2, 13, 26, 307, 614, 3991, 7982.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7982: a Harshad number: divisible by its digit sum 26.
- 2
7982 is composite. Its prime factorisation is
- 3
The divisors add up to 12936; without 7982 itself that is 4954, so 7982 is deficient (4954 is less than 7982). Euler's totient φ(7982) = 3672 numbers up to 7982 share no factor with it.
- 4
The digits of 7982 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7982 = 2 \times 13 \times 307 \]
7982 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 12936 |
| Euler totient φ(n) | 3672 |
| Square | 63712324 |
| Cube | 508551770168 |
| Square root | 89.342039 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 52 |
| Scientific notation | 7.982 × |
7982 in other forms
| Form | Value |
|---|---|
| In words | seven thousand nine hundred and eighty-two |
| Binary (base 2) | 1111100101110 |
| Octal (base 8) | 17456 |
| Hexadecimal (base 16) | 1F2E |
| Base 3 | 101221122 |
| As time | 7982 seconds = 2 h 13 min 2 s |
Is 7982 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7982 ÷ 2 = 3991) | 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 2) | 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 8) | 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 7) | 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 7982 a prime number?
No. 7982 = 2 × 13 × 307, so it is divisible by 2.
What are the factors of 7982?
1, 2, 13, 26, 307, 614, 3991, 7982.
What is 7982 in binary?
1111100101110 (hexadecimal 1F2E, octal 17456).
What is the square root of 7982?
About 89.3420.
Is 7982 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 7982?
7982 is a Harshad number: divisible by its digit sum 26.