The number 13850
13850 is a composite number with 12 divisors. Its prime factorisation is 2 × × 277. Divisors (12): 1, 2, 5, 10, 25, 50, 277, 554, 1385, 2770, 6925, 13850.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13850 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13850 is composite. Its prime factorisation is
- 3
The divisors add up to 25854; without 13850 itself that is 12004, so 13850 is deficient (12004 is less than 13850). Euler's totient φ(13850) = 5520 numbers up to 13850 share no factor with it.
- 4
The digits of 13850 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 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13850 = 2 \times 5^{2} \times 277 \]13850 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 25854 |
| Euler totient φ(n) | 5520 |
| Square | 191822500 |
| Cube | 2656741625000 |
| Square root | 117.686023 (= 5√554) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.385 × |
13850 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and fifty |
| Binary (base 2) | 11011000011010 |
| Octal (base 8) | 33032 |
| Hexadecimal (base 16) | 361A |
| Base 3 | 200222222 |
| As time | 13850 seconds = 3 h 50 min 50 s |
Is 13850 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13850 ÷ 2 = 6925) | 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 | Yes (13850 ÷ 5 = 2770) | 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 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 2) | 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 | Yes (13850 ÷ 10 = 1385) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 13850 a prime number?
No. 13850 = 2 × × 277, so it is divisible by 2.
What are the factors of 13850?
1, 2, 5, 10, 25, 50, 277, 554, 1385, 2770, 6925, 13850.
What is 13850 in binary?
11011000011010 (hexadecimal 361A, octal 33032).
What is the square root of 13850?
About 117.6860, exactly 5√554.
Is 13850 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 13850?
It is a composite number with 12 divisors.