The number 13812
13812 is a composite number with 12 divisors. Its prime factorisation is × 3 × 1151. Divisors (12): 1, 2, 3, 4, 6, 12, 1151, 2302, 3453, 4604, 6906, 13812.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13812: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13812 is composite. Its prime factorisation is
- 3
The divisors add up to 32256; without 13812 itself that is 18444, so 13812 is abundant (18444 is more than 13812). Euler's totient φ(13812) = 4600 numbers up to 13812 share no factor with it.
- 4
The digits of 13812 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13812 = 2^{2} \times 3 \times 1151 \]13812 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 32256 |
| Euler totient φ(n) | 4600 |
| Square | 190771344 |
| Cube | 2634933803328 |
| Square root | 117.524466 (= 2√3453) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3812 × |
13812 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and twelve |
| Binary (base 2) | 11010111110100 |
| Octal (base 8) | 32764 |
| Hexadecimal (base 16) | 35F4 |
| Base 3 | 200221120 |
| As time | 13812 seconds = 3 h 50 min 12 s |
Is 13812 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13812 ÷ 2 = 6906) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13812 ÷ 3 = 4604) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13812 ÷ 4 = 3453) | 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 | Yes (13812 ÷ 6 = 2302) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (13812 ÷ 12 = 1151) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13812 a prime number?
No. 13812 = × 3 × 1151, so it is divisible by 2.
What are the factors of 13812?
1, 2, 3, 4, 6, 12, 1151, 2302, 3453, 4604, 6906, 13812.
What is 13812 in binary?
11010111110100 (hexadecimal 35F4, octal 32764).
What is the square root of 13812?
About 117.5245, exactly 2√3453.
Is 13812 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 13812?
13812 is a happy number: repeatedly adding the squares of its digits reaches 1.