The number 4094
4094 is a composite number with 8 divisors. Its prime factorisation is 2 × 23 × 89. Divisors (8): 1, 2, 23, 46, 89, 178, 2047, 4094.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4094 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4094 is composite. Its prime factorisation is
- 3
The divisors add up to 6480; without 4094 itself that is 2386, so 4094 is deficient (2386 is less than 4094). Euler's totient φ(4094) = 1936 numbers up to 4094 share no factor with it.
- 4
The digits of 4094 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 157 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4094 = 2 \times 23 \times 89 \]
4094 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6480 |
| Euler totient φ(n) | 1936 |
| Square | 16760836 |
| Cube | 68618862584 |
| Square root | 63.984373 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 157 |
| Scientific notation | 4.094 × |
4094 in other forms
| Form | Value |
|---|---|
| In words | four thousand and ninety-four |
| Binary (base 2) | 111111111110 |
| Octal (base 8) | 7776 |
| Hexadecimal (base 16) | FFE |
| Base 3 | 12121122 |
| As time | 4094 seconds = 1 h 8 min 14 s |
Is 4094 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4094 ÷ 2 = 2047) | 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 | No (remainder 6) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 2) | 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 4094 a prime number?
No. 4094 = 2 × 23 × 89, so it is divisible by 2.
What are the factors of 4094?
1, 2, 23, 46, 89, 178, 2047, 4094.
What is 4094 in binary?
111111111110 (hexadecimal FFE, octal 7776).
What is the square root of 4094?
About 63.9844.
Is 4094 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 4094?
It is a composite number with 8 divisors.