The number 13190
13190 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 1319. Divisors (8): 1, 2, 5, 10, 1319, 2638, 6595, 13190.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13190 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13190 is composite. Its prime factorisation is
- 3
The divisors add up to 23760; without 13190 itself that is 10570, so 13190 is deficient (10570 is less than 13190). Euler's totient φ(13190) = 5272 numbers up to 13190 share no factor with it.
- 4
The digits of 13190 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13190 = 2 \times 5 \times 1319 \]
13190 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 23760 |
| Euler totient φ(n) | 5272 |
| Square | 173976100 |
| Cube | 2294744759000 |
| Square root | 114.847725 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 125 |
| Scientific notation | 1.319 × |
13190 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and ninety |
| Binary (base 2) | 11001110000110 |
| Octal (base 8) | 31606 |
| Hexadecimal (base 16) | 3386 |
| Base 3 | 200002112 |
| As time | 13190 seconds = 3 h 39 min 50 s |
Is 13190 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13190 ÷ 2 = 6595) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13190 ÷ 5 = 2638) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (13190 ÷ 10 = 1319) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13190 a prime number?
No. 13190 = 2 × 5 × 1319, so it is divisible by 2.
What are the factors of 13190?
1, 2, 5, 10, 1319, 2638, 6595, 13190.
What is 13190 in binary?
11001110000110 (hexadecimal 3386, octal 31606).
What is the square root of 13190?
About 114.8477.
Is 13190 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 13190?
It is a composite number with 8 divisors.