The number 13795
13795 is a composite number with 8 divisors. Its prime factorisation is 5 × 31 × 89. Divisors (8): 1, 5, 31, 89, 155, 445, 2759, 13795.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13795 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13795 is composite. Its prime factorisation is
- 3
The divisors add up to 17280; without 13795 itself that is 3485, so 13795 is deficient (3485 is less than 13795). Euler's totient φ(13795) = 10560 numbers up to 13795 share no factor with it.
- 4
The digits of 13795 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13795 = 5 \times 31 \times 89 \]
13795 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 17280 |
| Euler totient φ(n) | 10560 |
| Square | 190302025 |
| Cube | 2625216434875 |
| Square root | 117.452118 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.3795 × |
13795 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and ninety-five |
| Binary (base 2) | 11010111100011 |
| Octal (base 8) | 32743 |
| Hexadecimal (base 16) | 35E3 |
| Base 3 | 200220221 |
| As time | 13795 seconds = 3 h 49 min 55 s |
Is 13795 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 | No (remainder 1) | 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 (13795 ÷ 5 = 2759) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 7) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13795 a prime number?
No. 13795 = 5 × 31 × 89, so it is divisible by 5.
What are the factors of 13795?
1, 5, 31, 89, 155, 445, 2759, 13795.
What is 13795 in binary?
11010111100011 (hexadecimal 35E3, octal 32743).
What is the square root of 13795?
About 117.4521.
Is 13795 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 13795?
It is a composite number with 8 divisors.