The number 1676
1676 is a composite number with 6 divisors. Its prime factorisation is × 419. Divisors (6): 1, 2, 4, 419, 838, 1676.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1676 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1676 is composite. Its prime factorisation is
- 3
The divisors add up to 2940; without 1676 itself that is 1264, so 1676 is deficient (1264 is less than 1676). Euler's totient φ(1676) = 836 numbers up to 1676 share no factor with it.
- 4
The digits of 1676 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1676 = 2^{2} \times 419 \]1676 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 2940 |
| Euler totient φ(n) | 836 |
| Square | 2808976 |
| Cube | 4707843776 |
| Square root | 40.938979 (= 2√419) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.676 × |
1676 in other forms
| Form | Value |
|---|---|
| In words | one thousand six hundred and seventy-six |
| Roman numerals | MDCLXXVI |
| Binary (base 2) | 11010001100 |
| Octal (base 8) | 3214 |
| Hexadecimal (base 16) | 68C |
| Base 3 | 2022002 |
| As time | 1676 seconds = 27 min 56 s |
Is 1676 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1676 ÷ 2 = 838) | 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 | Yes (1676 ÷ 4 = 419) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1676 a prime number?
No. 1676 = × 419, so it is divisible by 2.
What are the factors of 1676?
1, 2, 4, 419, 838, 1676.
What is 1676 in binary?
11010001100 (hexadecimal 68C, octal 3214).
What is the square root of 1676?
About 40.9390, exactly 2√419.
What is 1676 in Roman numerals?
MDCLXXVI.
Is 1676 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 1676?
It is a composite number with 6 divisors.