The number 13814
13814 is a composite number with 4 divisors. Its prime factorisation is 2 × 6907. Divisors (4): 1, 2, 6907, 13814.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13814: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 6907, the product of two primes.
- 2
13814 is composite. Its prime factorisation is
- 3
The divisors add up to 20724; without 13814 itself that is 6910, so 13814 is deficient (6910 is less than 13814). Euler's totient φ(13814) = 6906 numbers up to 13814 share no factor with it.
- 4
The digits of 13814 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 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13814 = 2 \times 6907 \]
13814 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 20724 |
| Euler totient φ(n) | 6906 |
| Square | 190826596 |
| Cube | 2636078597144 |
| Square root | 117.532974 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 120 |
| Scientific notation | 1.3814 × |
13814 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and fourteen |
| Binary (base 2) | 11010111110110 |
| Octal (base 8) | 32766 |
| Hexadecimal (base 16) | 35F6 |
| Base 3 | 200221122 |
| As time | 13814 seconds = 3 h 50 min 14 s |
Is 13814 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13814 ÷ 2 = 6907) | 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 | No (remainder 4) | 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 3) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 13814 a prime number?
No. 13814 = 2 × 6907, so it is divisible by 2.
What are the factors of 13814?
1, 2, 6907, 13814.
What is 13814 in binary?
11010111110110 (hexadecimal 35F6, octal 32766).
What is the square root of 13814?
About 117.5330.
Is 13814 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 13814?
13814 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 6907, the product of two primes.