The number 7996
7996 is a composite number with 6 divisors. Its prime factorisation is × 1999. Divisors (6): 1, 2, 4, 1999, 3998, 7996.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7996 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7996 is composite. Its prime factorisation is
- 3
The divisors add up to 14000; without 7996 itself that is 6004, so 7996 is deficient (6004 is less than 7996). Euler's totient φ(7996) = 3996 numbers up to 7996 share no factor with it.
- 4
The digits of 7996 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7996 = 2^{2} \times 1999 \]7996 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 14000 |
| Euler totient φ(n) | 3996 |
| Square | 63936016 |
| Cube | 511232383936 |
| Square root | 89.420356 (= 2√1999) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 52 |
| Scientific notation | 7.996 × |
7996 in other forms
| Form | Value |
|---|---|
| In words | seven thousand nine hundred and ninety-six |
| Binary (base 2) | 1111100111100 |
| Octal (base 8) | 17474 |
| Hexadecimal (base 16) | 1F3C |
| Base 3 | 101222011 |
| As time | 7996 seconds = 2 h 13 min 16 s |
Is 7996 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7996 ÷ 2 = 3998) | 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 (7996 ÷ 4 = 1999) | 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 | No (remainder 4) | 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 10) | 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 7996 a prime number?
No. 7996 = × 1999, so it is divisible by 2.
What are the factors of 7996?
1, 2, 4, 1999, 3998, 7996.
What is 7996 in binary?
1111100111100 (hexadecimal 1F3C, octal 17474).
What is the square root of 7996?
About 89.4204, exactly 2√1999.
Is 7996 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 7996?
It is a composite number with 6 divisors.