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The number 13855

13855 is a composite number with 8 divisors. Its prime factorisation is 5 × 17 × 163. Divisors (8): 1, 5, 17, 85, 163, 815, 2771, 13855.

Number

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How to work it out

  1. 1

    13855 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    13855 is composite. Its prime factorisation is

    13855=5×17×16313855 = 5 \times 17 \times 163
  3. 3

    The divisors add up to 17712; without 13855 itself that is 3857, so 13855 is deficient (3857 is less than 13855). Euler's totient φ(13855) = 10368 numbers up to 13855 share no factor with it.

  4. 4

    The digits of 13855 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.

LaTeX source of the formulas on this page
\[ 13855 = 5 \times 17 \times 163 \]

13855 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors17712
Euler totient φ(n)10368
Square191961025
Cube2659620001375
Square root117.707264
Digit sum / digital root22 / 4
Collatz steps to 189
Scientific notation1.3855 × 10410^{4}

13855 in other forms

FormValue
In wordsthirteen thousand eight hundred and fifty-five
Binary (base 2)11011000011111
Octal (base 8)33037
Hexadecimal (base 16)361F
Base 3201000011
As time13855 seconds = 3 h 50 min 55 s

Is 13855 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (13855 ÷ 5 = 2771)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (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.
8No (remainder 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 5)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 13855 a prime number?

No. 13855 = 5 × 17 × 163, so it is divisible by 5.

What are the factors of 13855?

1, 5, 17, 85, 163, 815, 2771, 13855.

What is 13855 in binary?

11011000011111 (hexadecimal 361F, octal 33037).

What is the square root of 13855?

About 117.7073.

Is 13855 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 13855?

It is a composite number with 8 divisors.

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    13855: is it prime? Factors, square root, binary, Roman numeral | WordGPT