The number 795
795 is a composite number with 8 divisors. Its prime factorisation is 3 × 5 × 53. Divisors (8): 1, 3, 5, 15, 53, 159, 265, 795.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
795 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
795 is composite. Its prime factorisation is
- 3
The divisors add up to 1296; without 795 itself that is 501, so 795 is deficient (501 is less than 795). Euler's totient φ(795) = 416 numbers up to 795 share no factor with it.
- 4
The digits of 795 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 795 = 3 \times 5 \times 53 \]
795 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 1296 |
| Euler totient φ(n) | 416 |
| Square | 632025 |
| Cube | 502459875 |
| Square root | 28.195744 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 103 |
| Scientific notation | 7.95 × |
795 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and ninety-five |
| Roman numerals | DCCXCV |
| Binary (base 2) | 1100011011 |
| Octal (base 8) | 1433 |
| Hexadecimal (base 16) | 31B |
| Base 3 | 1002110 |
| As time | 795 seconds = 13 min 15 s |
Is 795 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 (795 ÷ 3 = 265) | 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 (795 ÷ 5 = 159) | 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 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 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 3) | 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 795 a prime number?
No. 795 = 3 × 5 × 53, so it is divisible by 3.
What are the factors of 795?
1, 3, 5, 15, 53, 159, 265, 795.
What is 795 in binary?
1100011011 (hexadecimal 31B, octal 1433).
What is the square root of 795?
About 28.1957.
What is 795 in Roman numerals?
DCCXCV.
Is 795 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 795?
It is a composite number with 8 divisors.