The number 5096
5096 is a composite number with 24 divisors. Its prime factorisation is × × 13. Divisors (24): 1, 2, 4, 7, 8, 13, 14, 26, 28, 49, 52, 56, 91, 98, 104, 182 … 5096.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5096 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5096 is composite. Its prime factorisation is
- 3
The divisors add up to 11970; without 5096 itself that is 6874, so 5096 is abundant (6874 is more than 5096). Euler's totient φ(5096) = 2016 numbers up to 5096 share no factor with it.
- 4
The digits of 5096 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5096 = 2^{3} \times 7^{2} \times 13 \]5096 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 11970 |
| Euler totient φ(n) | 2016 |
| Square | 25969216 |
| Cube | 132339124736 |
| Square root | 71.386273 (= 14√26) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 59 |
| Scientific notation | 5.096 × |
5096 in other forms
| Form | Value |
|---|---|
| In words | five thousand and ninety-six |
| Binary (base 2) | 1001111101000 |
| Octal (base 8) | 11750 |
| Hexadecimal (base 16) | 13E8 |
| Base 3 | 20222202 |
| As time | 5096 seconds = 1 h 24 min 56 s |
Is 5096 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5096 ÷ 2 = 2548) | 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 | Yes (5096 ÷ 4 = 1274) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (5096 ÷ 7 = 728) | 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 (5096 ÷ 8 = 637) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5096 a prime number?
No. 5096 = × × 13, so it is divisible by 2.
What are the factors of 5096?
1, 2, 4, 7, 8, 13, 14, 26, 28, 49, 52, 56, 91, 98, 104, 182, 196, 364, 392, 637, 728, 1274, 2548, 5096.
What is 5096 in binary?
1001111101000 (hexadecimal 13E8, octal 11750).
What is the square root of 5096?
About 71.3863, exactly 14√26.
Is 5096 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 5096?
It is a composite number with 24 divisors.