The number 1096
1096 is a composite number with 8 divisors. Its prime factorisation is × 137. Divisors (8): 1, 2, 4, 8, 137, 274, 548, 1096.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1096 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1096 is composite. Its prime factorisation is
- 3
The divisors add up to 2070; without 1096 itself that is 974, so 1096 is deficient (974 is less than 1096). Euler's totient φ(1096) = 544 numbers up to 1096 share no factor with it.
- 4
The digits of 1096 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1096 = 2^{3} \times 137 \]1096 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2070 |
| Euler totient φ(n) | 544 |
| Square | 1201216 |
| Cube | 1316532736 |
| Square root | 33.105891 (= 2√274) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 93 |
| Scientific notation | 1.096 × |
1096 in other forms
| Form | Value |
|---|---|
| In words | one thousand and ninety-six |
| Roman numerals | MXCVI |
| Binary (base 2) | 10001001000 |
| Octal (base 8) | 2110 |
| Hexadecimal (base 16) | 448 |
| Base 3 | 1111121 |
| As time | 1096 seconds = 18 min 16 s |
Is 1096 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1096 ÷ 2 = 548) | 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 (1096 ÷ 4 = 274) | 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 4) | 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 (1096 ÷ 8 = 137) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 7) | 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 1096 a prime number?
No. 1096 = × 137, so it is divisible by 2.
What are the factors of 1096?
1, 2, 4, 8, 137, 274, 548, 1096.
What is 1096 in binary?
10001001000 (hexadecimal 448, octal 2110).
What is the square root of 1096?
About 33.1059, exactly 2√274.
What is 1096 in Roman numerals?
MXCVI.
Is 1096 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 1096?
It is a composite number with 8 divisors.