The number 13195
13195 is a composite number with 16 divisors. Its prime factorisation is 5 × 7 × 13 × 29. Divisors (16): 1, 5, 7, 13, 29, 35, 65, 91, 145, 203, 377, 455, 1015, 1885, 2639, 13195.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13195 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13195 is composite. Its prime factorisation is
- 3
The divisors add up to 20160; without 13195 itself that is 6965, so 13195 is deficient (6965 is less than 13195). Euler's totient φ(13195) = 8064 numbers up to 13195 share no factor with it.
- 4
The digits of 13195 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 244 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13195 = 5 \times 7 \times 13 \times 29 \]
13195 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 20160 |
| Euler totient φ(n) | 8064 |
| Square | 174108025 |
| Cube | 2297355389875 |
| Square root | 114.869491 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 244 |
| Scientific notation | 1.3195 × |
13195 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and ninety-five |
| Binary (base 2) | 11001110001011 |
| Octal (base 8) | 31613 |
| Hexadecimal (base 16) | 338B |
| Base 3 | 200002201 |
| As time | 13195 seconds = 3 h 39 min 55 s |
Is 13195 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 (13195 ÷ 5 = 2639) | 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 | Yes (13195 ÷ 7 = 1885) | 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 1) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13195 a prime number?
No. 13195 = 5 × 7 × 13 × 29, so it is divisible by 5.
What are the factors of 13195?
1, 5, 7, 13, 29, 35, 65, 91, 145, 203, 377, 455, 1015, 1885, 2639, 13195.
What is 13195 in binary?
11001110001011 (hexadecimal 338B, octal 31613).
What is the square root of 13195?
About 114.8695.
Is 13195 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 13195?
It is a composite number with 16 divisors.