The number 3795
3795 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 11 × 23. Divisors (16): 1, 3, 5, 11, 15, 23, 33, 55, 69, 115, 165, 253, 345, 759, 1265, 3795.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3795 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3795 is composite. Its prime factorisation is
- 3
The divisors add up to 6912; without 3795 itself that is 3117, so 3795 is deficient (3117 is less than 3795). Euler's totient φ(3795) = 1760 numbers up to 3795 share no factor with it.
- 4
The digits of 3795 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 69 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3795 = 3 \times 5 \times 11 \times 23 \]
3795 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 6912 |
| Euler totient φ(n) | 1760 |
| Square | 14402025 |
| Cube | 54655684875 |
| Square root | 61.603571 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 69 |
| Scientific notation | 3.795 × |
3795 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and ninety-five |
| Roman numerals | MMMDCCXCV |
| Binary (base 2) | 111011010011 |
| Octal (base 8) | 7323 |
| Hexadecimal (base 16) | ED3 |
| Base 3 | 12012120 |
| As time | 3795 seconds = 1 h 3 min 15 s |
Is 3795 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 (3795 ÷ 3 = 1265) | 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 (3795 ÷ 5 = 759) | 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 1) | 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 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 | Yes (3795 ÷ 11 = 345) | 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 3795 a prime number?
No. 3795 = 3 × 5 × 11 × 23, so it is divisible by 3.
What are the factors of 3795?
1, 3, 5, 11, 15, 23, 33, 55, 69, 115, 165, 253, 345, 759, 1265, 3795.
What is 3795 in binary?
111011010011 (hexadecimal ED3, octal 7323).
What is the square root of 3795?
About 61.6036.
What is 3795 in Roman numerals?
MMMDCCXCV.
Is 3795 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 3795?
It is a composite number with 16 divisors.