The number 982
982 is a composite number with 4 divisors. Its prime factorisation is 2 × 491. Divisors (4): 1, 2, 491, 982.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 982: a semiprime: 2 × 491, the product of two primes.
- 2
982 is composite. Its prime factorisation is
- 3
The divisors add up to 1476; without 982 itself that is 494, so 982 is deficient (494 is less than 982). Euler's totient φ(982) = 490 numbers up to 982 share no factor with it.
- 4
The digits of 982 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 982 = 2 \times 491 \]
982 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1476 |
| Euler totient φ(n) | 490 |
| Square | 964324 |
| Cube | 946966168 |
| Square root | 31.336879 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 142 |
| Scientific notation | 9.82 × |
982 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and eighty-two |
| Roman numerals | CMLXXXII |
| Binary (base 2) | 1111010110 |
| Octal (base 8) | 1726 |
| Hexadecimal (base 16) | 3D6 |
| Base 3 | 1100101 |
| As time | 982 seconds = 16 min 22 s |
Is 982 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (982 ÷ 2 = 491) | 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 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 1) | 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 3) | 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 982 a prime number?
No. 982 = 2 × 491, so it is divisible by 2.
What are the factors of 982?
1, 2, 491, 982.
What is 982 in binary?
1111010110 (hexadecimal 3D6, octal 1726).
What is the square root of 982?
About 31.3369.
What is 982 in Roman numerals?
CMLXXXII.
Is 982 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 982?
982 is a semiprime: 2 × 491, the product of two primes.