The number 1996
1996 is a composite number with 6 divisors. Its prime factorisation is × 499. Divisors (6): 1, 2, 4, 499, 998, 1996.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1996 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1996 is composite. Its prime factorisation is
- 3
The divisors add up to 3500; without 1996 itself that is 1504, so 1996 is deficient (1504 is less than 1996). Euler's totient φ(1996) = 996 numbers up to 1996 share no factor with it.
- 4
The digits of 1996 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1996 = 2^{2} \times 499 \]1996 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 3500 |
| Euler totient φ(n) | 996 |
| Square | 3984016 |
| Cube | 7952095936 |
| Square root | 44.676616 (= 2√499) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 50 |
| Scientific notation | 1.996 × |
1996 in other forms
| Form | Value |
|---|---|
| In words | one thousand nine hundred and ninety-six |
| Roman numerals | MCMXCVI |
| Binary (base 2) | 11111001100 |
| Octal (base 8) | 3714 |
| Hexadecimal (base 16) | 7CC |
| Base 3 | 2201221 |
| As time | 1996 seconds = 33 min 16 s |
Is 1996 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1996 ÷ 2 = 998) | 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 (1996 ÷ 4 = 499) | 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 1) | 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 7) | 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 5) | 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 1996 a prime number?
No. 1996 = × 499, so it is divisible by 2.
What are the factors of 1996?
1, 2, 4, 499, 998, 1996.
What is 1996 in binary?
11111001100 (hexadecimal 7CC, octal 3714).
What is the square root of 1996?
About 44.6766, exactly 2√499.
What is 1996 in Roman numerals?
MCMXCVI.
Is 1996 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 1996?
It is a composite number with 6 divisors.