The number 13862
13862 is a composite number with 8 divisors. Its prime factorisation is 2 × 29 × 239. Divisors (8): 1, 2, 29, 58, 239, 478, 6931, 13862.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13862 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13862 is composite. Its prime factorisation is
- 3
The divisors add up to 21600; without 13862 itself that is 7738, so 13862 is deficient (7738 is less than 13862). Euler's totient φ(13862) = 6664 numbers up to 13862 share no factor with it.
- 4
The digits of 13862 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 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13862 = 2 \times 29 \times 239 \]
13862 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 21600 |
| Euler totient φ(n) | 6664 |
| Square | 192155044 |
| Cube | 2663653219928 |
| Square root | 117.736995 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3862 × |
13862 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and sixty-two |
| Binary (base 2) | 11011000100110 |
| Octal (base 8) | 33046 |
| Hexadecimal (base 16) | 3626 |
| Base 3 | 201000102 |
| As time | 13862 seconds = 3 h 51 min 2 s |
Is 13862 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13862 ÷ 2 = 6931) | 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 2) | 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 2) | 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 2) | 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 2) | 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 13862 a prime number?
No. 13862 = 2 × 29 × 239, so it is divisible by 2.
What are the factors of 13862?
1, 2, 29, 58, 239, 478, 6931, 13862.
What is 13862 in binary?
11011000100110 (hexadecimal 3626, octal 33046).
What is the square root of 13862?
About 117.7370.
Is 13862 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 13862?
It is a composite number with 8 divisors.