The number 13796
13796 is a composite number with 6 divisors. Its prime factorisation is × 3449. Divisors (6): 1, 2, 4, 3449, 6898, 13796.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13796: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13796 is composite. Its prime factorisation is
- 3
The divisors add up to 24150; without 13796 itself that is 10354, so 13796 is deficient (10354 is less than 13796). Euler's totient φ(13796) = 6896 numbers up to 13796 share no factor with it.
- 4
The digits of 13796 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13796 = 2^{2} \times 3449 \]13796 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 24150 |
| Euler totient φ(n) | 6896 |
| Square | 190329616 |
| Cube | 2625787382336 |
| Square root | 117.456375 (= 2√3449) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3796 × |
13796 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and ninety-six |
| Binary (base 2) | 11010111100100 |
| Octal (base 8) | 32744 |
| Hexadecimal (base 16) | 35E4 |
| Base 3 | 200220222 |
| As time | 13796 seconds = 3 h 49 min 56 s |
Is 13796 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13796 ÷ 2 = 6898) | 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 | Yes (13796 ÷ 4 = 3449) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 6) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13796 a prime number?
No. 13796 = × 3449, so it is divisible by 2.
What are the factors of 13796?
1, 2, 4, 3449, 6898, 13796.
What is 13796 in binary?
11010111100100 (hexadecimal 35E4, octal 32744).
What is the square root of 13796?
About 117.4564, exactly 2√3449.
Is 13796 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 13796?
13796 is a happy number: repeatedly adding the squares of its digits reaches 1.