The number 7994
7994 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 571. Divisors (8): 1, 2, 7, 14, 571, 1142, 3997, 7994.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7994 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7994 is composite. Its prime factorisation is
- 3
The divisors add up to 13728; without 7994 itself that is 5734, so 7994 is deficient (5734 is less than 7994). Euler's totient φ(7994) = 3420 numbers up to 7994 share no factor with it.
- 4
The digits of 7994 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7994 = 2 \times 7 \times 571 \]
7994 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 13728 |
| Euler totient φ(n) | 3420 |
| Square | 63904036 |
| Cube | 510848863784 |
| Square root | 89.409172 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 52 |
| Scientific notation | 7.994 × |
7994 in other forms
| Form | Value |
|---|---|
| In words | seven thousand nine hundred and ninety-four |
| Binary (base 2) | 1111100111010 |
| Octal (base 8) | 17472 |
| Hexadecimal (base 16) | 1F3A |
| Base 3 | 101222002 |
| As time | 7994 seconds = 2 h 13 min 14 s |
Is 7994 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7994 ÷ 2 = 3997) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | Yes (7994 ÷ 7 = 1142) | 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 2) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7994 a prime number?
No. 7994 = 2 × 7 × 571, so it is divisible by 2.
What are the factors of 7994?
1, 2, 7, 14, 571, 1142, 3997, 7994.
What is 7994 in binary?
1111100111010 (hexadecimal 1F3A, octal 17472).
What is the square root of 7994?
About 89.4092.
Is 7994 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 7994?
It is a composite number with 8 divisors.