The number 13823
13823 is a composite number with 4 divisors. Its prime factorisation is 23 × 601. Divisors (4): 1, 23, 601, 13823.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13823: a semiprime: 23 × 601, the product of two primes.
- 2
13823 is composite. Its prime factorisation is
- 3
The divisors add up to 14448; without 13823 itself that is 625, so 13823 is deficient (625 is less than 13823). Euler's totient φ(13823) = 13200 numbers up to 13823 share no factor with it.
- 4
The digits of 13823 add up to 17, 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
\[ 13823 = 23 \times 601 \]
13823 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 14448 |
| Euler totient φ(n) | 13200 |
| Square | 191075329 |
| Cube | 2641234272767 |
| Square root | 117.571255 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3823 × |
13823 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and twenty-three |
| Binary (base 2) | 11010111111111 |
| Octal (base 8) | 32777 |
| Hexadecimal (base 16) | 35FF |
| Base 3 | 200221222 |
| As time | 13823 seconds = 3 h 50 min 23 s |
Is 13823 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 2) | 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 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 7) | 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 3) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13823 a prime number?
No. 13823 = 23 × 601, so it is divisible by 23.
What are the factors of 13823?
1, 23, 601, 13823.
What is 13823 in binary?
11010111111111 (hexadecimal 35FF, octal 32777).
What is the square root of 13823?
About 117.5713.
Is 13823 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 13823?
13823 is a semiprime: 23 × 601, the product of two primes.