The number 3096
3096 is a composite number with 24 divisors. Its prime factorisation is × × 43. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 43, 72, 86, 129, 172 … 3096.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3096: a Harshad number: divisible by its digit sum 18.
- 2
3096 is composite. Its prime factorisation is
- 3
The divisors add up to 8580; without 3096 itself that is 5484, so 3096 is abundant (5484 is more than 3096). Euler's totient φ(3096) = 1008 numbers up to 3096 share no factor with it.
- 4
The digits of 3096 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 123 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3096 = 2^{3} \times 3^{2} \times 43 \]3096 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 8580 |
| Euler totient φ(n) | 1008 |
| Square | 9585216 |
| Cube | 29675828736 |
| Square root | 55.641711 (= 6√86) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 123 |
| Scientific notation | 3.096 × |
3096 in other forms
| Form | Value |
|---|---|
| In words | three thousand and ninety-six |
| Roman numerals | MMMXCVI |
| Binary (base 2) | 110000011000 |
| Octal (base 8) | 6030 |
| Hexadecimal (base 16) | C18 |
| Base 3 | 11020200 |
| As time | 3096 seconds = 51 min 36 s |
Is 3096 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3096 ÷ 2 = 1548) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3096 ÷ 3 = 1032) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3096 ÷ 4 = 774) | 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 | Yes (3096 ÷ 6 = 516) | 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 | Yes (3096 ÷ 8 = 387) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (3096 ÷ 9 = 344) | 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 | Yes (3096 ÷ 12 = 258) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3096 a prime number?
No. 3096 = × × 43, so it is divisible by 2.
What are the factors of 3096?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 43, 72, 86, 129, 172, 258, 344, 387, 516, 774, 1032, 1548, 3096.
What is 3096 in binary?
110000011000 (hexadecimal C18, octal 6030).
What is the square root of 3096?
About 55.6417, exactly 6√86.
What is 3096 in Roman numerals?
MMMXCVI.
Is 3096 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 3096?
3096 is a Harshad number: divisible by its digit sum 18.