The number 27982
27982 is a composite number with 8 divisors. Its prime factorisation is 2 × 17 × 823. Divisors (8): 1, 2, 17, 34, 823, 1646, 13991, 27982.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27982 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27982 is composite. Its prime factorisation is
- 3
The divisors add up to 44496; without 27982 itself that is 16514, so 27982 is deficient (16514 is less than 27982). Euler's totient φ(27982) = 13152 numbers up to 27982 share no factor with it.
- 4
The digits of 27982 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27982 = 2 \times 17 \times 823 \]
27982 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 44496 |
| Euler totient φ(n) | 13152 |
| Square | 782992324 |
| Cube | 21909691210168 |
| Square root | 167.278211 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.7982 × |
27982 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand nine hundred and eighty-two |
| Binary (base 2) | 110110101001110 |
| Octal (base 8) | 66516 |
| Hexadecimal (base 16) | 6D4E |
| Base 3 | 1102101101 |
| As time | 27982 seconds = 7 h 46 min 22 s |
Is 27982 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27982 ÷ 2 = 13991) | 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 3) | 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 9) | 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 27982 a prime number?
No. 27982 = 2 × 17 × 823, so it is divisible by 2.
What are the factors of 27982?
1, 2, 17, 34, 823, 1646, 13991, 27982.
What is 27982 in binary?
110110101001110 (hexadecimal 6D4E, octal 66516).
What is the square root of 27982?
About 167.2782.
Is 27982 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 27982?
It is a composite number with 8 divisors.