The number 13095
13095 is a composite number with 16 divisors. Its prime factorisation is × 5 × 97. Divisors (16): 1, 3, 5, 9, 15, 27, 45, 97, 135, 291, 485, 873, 1455, 2619, 4365, 13095.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13095 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13095 is composite. Its prime factorisation is
- 3
The divisors add up to 23520; without 13095 itself that is 10425, so 13095 is deficient (10425 is less than 13095). Euler's totient φ(13095) = 6912 numbers up to 13095 share no factor with it.
- 4
The digits of 13095 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13095 = 3^{3} \times 5 \times 97 \]13095 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 23520 |
| Euler totient φ(n) | 6912 |
| Square | 171479025 |
| Cube | 2245517832375 |
| Square root | 114.433387 (= 3√1455) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.3095 × |
13095 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and ninety-five |
| Binary (base 2) | 11001100100111 |
| Octal (base 8) | 31447 |
| Hexadecimal (base 16) | 3327 |
| Base 3 | 122222000 |
| As time | 13095 seconds = 3 h 38 min 15 s |
Is 13095 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 (13095 ÷ 3 = 4365) | 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 (13095 ÷ 5 = 2619) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (13095 ÷ 9 = 1455) | 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 5) | 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 13095 a prime number?
No. 13095 = × 5 × 97, so it is divisible by 3.
What are the factors of 13095?
1, 3, 5, 9, 15, 27, 45, 97, 135, 291, 485, 873, 1455, 2619, 4365, 13095.
What is 13095 in binary?
11001100100111 (hexadecimal 3327, octal 31447).
What is the square root of 13095?
About 114.4334, exactly 3√1455.
Is 13095 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13095?
It is a composite number with 16 divisors.