The number 1682
1682 is a composite number with 6 divisors. Its prime factorisation is 2 Ć . Divisors (6): 1, 2, 29, 58, 841, 1682.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1682 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1682 is composite. Its prime factorisation is
- 3
The divisors add up to 2613; without 1682 itself that is 931, so 1682 is deficient (931 is less than 1682). Euler's totient Ļ(1682) = 812 numbers up to 1682 share no factor with it.
- 4
The digits of 1682 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1682 = 2 \times 29^{2} \]1682 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 2613 |
| Euler totient Ļ(n) | 812 |
| Square | 2829124 |
| Cube | 4758586568 |
| Square root | 41.012193 (= 29ā2) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.682 Ć |
1682 in other forms
| Form | Value |
|---|---|
| In words | one thousand six hundred and eighty-two |
| Roman numerals | MDCLXXXII |
| Binary (base 2) | 11010010010 |
| Octal (base 8) | 3222 |
| Hexadecimal (base 16) | 692 |
| Base 3 | 2022022 |
| As time | 1682 seconds = 28 min 2 s |
Is 1682 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1682 Ć· 2 = 841) | 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 2) | 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 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 1682 a prime number?
No. 1682 = 2 Ć , so it is divisible by 2.
What are the factors of 1682?
1, 2, 29, 58, 841, 1682.
What is 1682 in binary?
11010010010 (hexadecimal 692, octal 3222).
What is the square root of 1682?
About 41.0122, exactly 29ā2.
What is 1682 in Roman numerals?
MDCLXXXII.
Is 1682 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 1682?
It is a composite number with 6 divisors.