The number 13790
13790 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 7 × 197. Divisors (16): 1, 2, 5, 7, 10, 14, 35, 70, 197, 394, 985, 1379, 1970, 2758, 6895, 13790.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13790 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13790 is composite. Its prime factorisation is
- 3
The divisors add up to 28512; without 13790 itself that is 14722, so 13790 is abundant (14722 is more than 13790). Euler's totient φ(13790) = 4704 numbers up to 13790 share no factor with it.
- 4
The digits of 13790 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13790 = 2 \times 5 \times 7 \times 197 \]
13790 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 28512 |
| Euler totient φ(n) | 4704 |
| Square | 190164100 |
| Cube | 2622362939000 |
| Square root | 117.430831 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.379 × |
13790 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and ninety |
| Binary (base 2) | 11010111011110 |
| Octal (base 8) | 32736 |
| Hexadecimal (base 16) | 35DE |
| Base 3 | 200220202 |
| As time | 13790 seconds = 3 h 49 min 50 s |
Is 13790 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13790 ÷ 2 = 6895) | 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 (13790 ÷ 5 = 2758) | 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 | Yes (13790 ÷ 7 = 1970) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (13790 ÷ 10 = 1379) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 13790 a prime number?
No. 13790 = 2 × 5 × 7 × 197, so it is divisible by 2.
What are the factors of 13790?
1, 2, 5, 7, 10, 14, 35, 70, 197, 394, 985, 1379, 1970, 2758, 6895, 13790.
What is 13790 in binary?
11010111011110 (hexadecimal 35DE, octal 32736).
What is the square root of 13790?
About 117.4308.
Is 13790 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 13790?
It is a composite number with 16 divisors.