The number 13867
13867 is a composite number with 6 divisors. Its prime factorisation is Ć 283. Divisors (6): 1, 7, 49, 283, 1981, 13867.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13867 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13867 is composite. Its prime factorisation is
- 3
The divisors add up to 16188; without 13867 itself that is 2321, so 13867 is deficient (2321 is less than 13867). Euler's totient Ļ(13867) = 11844 numbers up to 13867 share no factor with it.
- 4
The digits of 13867 add up to 25, 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
\[ 13867 = 7^{2} \times 283 \]13867 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 16188 |
| Euler totient Ļ(n) | 11844 |
| Square | 192293689 |
| Cube | 2666536585363 |
| Square root | 117.758227 (= 7ā283) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3867 Ć |
13867 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and sixty-seven |
| Binary (base 2) | 11011000101011 |
| Octal (base 8) | 33053 |
| Hexadecimal (base 16) | 362B |
| Base 3 | 201000121 |
| As time | 13867 seconds = 3 h 51 min 7 s |
Is 13867 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 1) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (13867 Ć· 7 = 1981) | 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 3) | 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 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13867 a prime number?
No. 13867 = Ć 283, so it is divisible by 7.
What are the factors of 13867?
1, 7, 49, 283, 1981, 13867.
What is 13867 in binary?
11011000101011 (hexadecimal 362B, octal 33053).
What is the square root of 13867?
About 117.7582, exactly 7ā283.
Is 13867 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 13867?
It is a composite number with 6 divisors.