The number 13822
13822 is a composite number with 4 divisors. Its prime factorisation is 2 × 6911. Divisors (4): 1, 2, 6911, 13822.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13822: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 6911, the product of two primes.
- 2
13822 is composite. Its prime factorisation is
- 3
The divisors add up to 20736; without 13822 itself that is 6914, so 13822 is deficient (6914 is less than 13822). Euler's totient φ(13822) = 6910 numbers up to 13822 share no factor with it.
- 4
The digits of 13822 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13822 = 2 \times 6911 \]
13822 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 20736 |
| Euler totient φ(n) | 6910 |
| Square | 191047684 |
| Cube | 2640661088248 |
| Square root | 117.567002 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3822 × |
13822 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and twenty-two |
| Binary (base 2) | 11010111111110 |
| Octal (base 8) | 32776 |
| Hexadecimal (base 16) | 35FE |
| Base 3 | 200221221 |
| As time | 13822 seconds = 3 h 50 min 22 s |
Is 13822 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13822 ÷ 2 = 6911) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13822 a prime number?
No. 13822 = 2 × 6911, so it is divisible by 2.
What are the factors of 13822?
1, 2, 6911, 13822.
What is 13822 in binary?
11010111111110 (hexadecimal 35FE, octal 32776).
What is the square root of 13822?
About 117.5670.
Is 13822 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 13822?
13822 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 6911, the product of two primes.