The number 1095
1095 is a composite number with 8 divisors. Its prime factorisation is 3 × 5 × 73. Divisors (8): 1, 3, 5, 15, 73, 219, 365, 1095.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1095: a Harshad number: divisible by its digit sum 15.
- 2
1095 is composite. Its prime factorisation is
- 3
The divisors add up to 1776; without 1095 itself that is 681, so 1095 is deficient (681 is less than 1095). Euler's totient φ(1095) = 576 numbers up to 1095 share no factor with it.
- 4
The digits of 1095 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1095 = 3 \times 5 \times 73 \]
1095 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 1776 |
| Euler totient φ(n) | 576 |
| Square | 1199025 |
| Cube | 1312932375 |
| Square root | 33.090784 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 75 |
| Scientific notation | 1.095 × |
1095 in other forms
| Form | Value |
|---|---|
| In words | one thousand and ninety-five |
| Roman numerals | MXCV |
| Binary (base 2) | 10001000111 |
| Octal (base 8) | 2107 |
| Hexadecimal (base 16) | 447 |
| Base 3 | 1111120 |
| As time | 1095 seconds = 18 min 15 s |
Is 1095 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1095 ÷ 3 = 365) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (1095 ÷ 5 = 219) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1095 a prime number?
No. 1095 = 3 × 5 × 73, so it is divisible by 3.
What are the factors of 1095?
1, 3, 5, 15, 73, 219, 365, 1095.
What is 1095 in binary?
10001000111 (hexadecimal 447, octal 2107).
What is the square root of 1095?
About 33.0908.
What is 1095 in Roman numerals?
MXCV.
Is 1095 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 1095?
1095 is a Harshad number: divisible by its digit sum 15.