The number 1687
1687 is a composite number with 4 divisors. Its prime factorisation is 7 × 241. Divisors (4): 1, 7, 241, 1687.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1687: a semiprime: 7 × 241, the product of two primes.
- 2
1687 is composite. Its prime factorisation is
- 3
The divisors add up to 1936; without 1687 itself that is 249, so 1687 is deficient (249 is less than 1687). Euler's totient φ(1687) = 1440 numbers up to 1687 share no factor with it.
- 4
The digits of 1687 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1687 = 7 \times 241 \]
1687 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1936 |
| Euler totient φ(n) | 1440 |
| Square | 2845969 |
| Cube | 4801149703 |
| Square root | 41.073106 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.687 × |
1687 in other forms
| Form | Value |
|---|---|
| In words | one thousand six hundred and eighty-seven |
| Roman numerals | MDCLXXXVII |
| Binary (base 2) | 11010010111 |
| Octal (base 8) | 3227 |
| Hexadecimal (base 16) | 697 |
| Base 3 | 2022111 |
| As time | 1687 seconds = 28 min 7 s |
Is 1687 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 3) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (1687 ÷ 7 = 241) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1687 a prime number?
No. 1687 = 7 × 241, so it is divisible by 7.
What are the factors of 1687?
1, 7, 241, 1687.
What is 1687 in binary?
11010010111 (hexadecimal 697, octal 3227).
What is the square root of 1687?
About 41.0731.
What is 1687 in Roman numerals?
MDCLXXXVII.
Is 1687 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 1687?
1687 is a semiprime: 7 × 241, the product of two primes.