The number 1696
1696 is a composite number with 12 divisors. Its prime factorisation is × 53. Divisors (12): 1, 2, 4, 8, 16, 32, 53, 106, 212, 424, 848, 1696.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1696 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1696 is composite. Its prime factorisation is
- 3
The divisors add up to 3402; without 1696 itself that is 1706, so 1696 is abundant (1706 is more than 1696). Euler's totient φ(1696) = 832 numbers up to 1696 share no factor with it.
- 4
The digits of 1696 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 16 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1696 = 2^{5} \times 53 \]1696 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 3402 |
| Euler totient φ(n) | 832 |
| Square | 2876416 |
| Cube | 4878401536 |
| Square root | 41.182521 (= 4√106) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 16 |
| Scientific notation | 1.696 × |
1696 in other forms
| Form | Value |
|---|---|
| In words | one thousand six hundred and ninety-six |
| Roman numerals | MDCXCVI |
| Binary (base 2) | 11010100000 |
| Octal (base 8) | 3240 |
| Hexadecimal (base 16) | 6A0 |
| Base 3 | 2022211 |
| As time | 1696 seconds = 28 min 16 s |
Is 1696 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1696 ÷ 2 = 848) | 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 (1696 ÷ 4 = 424) | 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 4) | 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 | Yes (1696 ÷ 8 = 212) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 1696 a prime number?
No. 1696 = × 53, so it is divisible by 2.
What are the factors of 1696?
1, 2, 4, 8, 16, 32, 53, 106, 212, 424, 848, 1696.
What is 1696 in binary?
11010100000 (hexadecimal 6A0, octal 3240).
What is the square root of 1696?
About 41.1825, exactly 4√106.
What is 1696 in Roman numerals?
MDCXCVI.
Is 1696 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 1696?
It is a composite number with 12 divisors.