The number 13817
13817 is a composite number with 4 divisors. Its prime factorisation is 41 × 337. Divisors (4): 1, 41, 337, 13817.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13817: a semiprime: 41 × 337, the product of two primes.
- 2
13817 is composite. Its prime factorisation is
- 3
The divisors add up to 14196; without 13817 itself that is 379, so 13817 is deficient (379 is less than 13817). Euler's totient φ(13817) = 13440 numbers up to 13817 share no factor with it.
- 4
The digits of 13817 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 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13817 = 41 \times 337 \]
13817 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 14196 |
| Euler totient φ(n) | 13440 |
| Square | 190909489 |
| Cube | 2637796409513 |
| Square root | 117.545736 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 120 |
| Scientific notation | 1.3817 × |
13817 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and seventeen |
| Binary (base 2) | 11010111111001 |
| Octal (base 8) | 32771 |
| Hexadecimal (base 16) | 35F9 |
| Base 3 | 200221202 |
| As time | 13817 seconds = 3 h 50 min 17 s |
Is 13817 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 1) | 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 5) | 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 1) | 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 | No (remainder 7) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13817 a prime number?
No. 13817 = 41 × 337, so it is divisible by 41.
What are the factors of 13817?
1, 41, 337, 13817.
What is 13817 in binary?
11010111111001 (hexadecimal 35F9, octal 32771).
What is the square root of 13817?
About 117.5457.
Is 13817 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 13817?
13817 is a semiprime: 41 × 337, the product of two primes.