The number 1684
1684 is a composite number with 6 divisors. Its prime factorisation is × 421. Divisors (6): 1, 2, 4, 421, 842, 1684.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1684 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1684 is composite. Its prime factorisation is
- 3
The divisors add up to 2954; without 1684 itself that is 1270, so 1684 is deficient (1270 is less than 1684). Euler's totient φ(1684) = 840 numbers up to 1684 share no factor with it.
- 4
The digits of 1684 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 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1684 = 2^{2} \times 421 \]1684 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 2954 |
| Euler totient φ(n) | 840 |
| Square | 2835856 |
| Cube | 4775581504 |
| Square root | 41.036569 (= 2√421) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.684 × |
1684 in other forms
| Form | Value |
|---|---|
| In words | one thousand six hundred and eighty-four |
| Roman numerals | MDCLXXXIV |
| Binary (base 2) | 11010010100 |
| Octal (base 8) | 3224 |
| Hexadecimal (base 16) | 694 |
| Base 3 | 2022101 |
| As time | 1684 seconds = 28 min 4 s |
Is 1684 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1684 ÷ 2 = 842) | 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 | Yes (1684 ÷ 4 = 421) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 4) | 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 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1684 a prime number?
No. 1684 = × 421, so it is divisible by 2.
What are the factors of 1684?
1, 2, 4, 421, 842, 1684.
What is 1684 in binary?
11010010100 (hexadecimal 694, octal 3224).
What is the square root of 1684?
About 41.0366, exactly 2√421.
What is 1684 in Roman numerals?
MDCLXXXIV.
Is 1684 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 1684?
It is a composite number with 6 divisors.