The number 13857
13857 is a composite number with 8 divisors. Its prime factorisation is 3 × 31 × 149. Divisors (8): 1, 3, 31, 93, 149, 447, 4619, 13857.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13857 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13857 is composite. Its prime factorisation is
- 3
The divisors add up to 19200; without 13857 itself that is 5343, so 13857 is deficient (5343 is less than 13857). Euler's totient φ(13857) = 8880 numbers up to 13857 share no factor with it.
- 4
The digits of 13857 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13857 = 3 \times 31 \times 149 \]
13857 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 19200 |
| Euler totient φ(n) | 8880 |
| Square | 192016449 |
| Cube | 2660771933793 |
| Square root | 117.715759 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3857 × |
13857 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and fifty-seven |
| Binary (base 2) | 11011000100001 |
| Octal (base 8) | 33041 |
| Hexadecimal (base 16) | 3621 |
| Base 3 | 201000020 |
| As time | 13857 seconds = 3 h 50 min 57 s |
Is 13857 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 | Yes (13857 ÷ 3 = 4619) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13857 a prime number?
No. 13857 = 3 × 31 × 149, so it is divisible by 3.
What are the factors of 13857?
1, 3, 31, 93, 149, 447, 4619, 13857.
What is 13857 in binary?
11011000100001 (hexadecimal 3621, octal 33041).
What is the square root of 13857?
About 117.7158.
Is 13857 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 13857?
It is a composite number with 8 divisors.