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The number 13843

13843 is a composite number with 4 divisors. Its prime factorisation is 109 × 127. Divisors (4): 1, 109, 127, 13843.

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How to work it out

  1. 1

    What is special about 13843: a semiprime: 109 × 127, the product of two primes.

  2. 2

    13843 is composite. Its prime factorisation is

    13843=109×12713843 = 109 \times 127
  3. 3

    The divisors add up to 14080; without 13843 itself that is 237, so 13843 is deficient (237 is less than 13843). Euler's totient φ(13843) = 13608 numbers up to 13843 share no factor with it.

  4. 4

    The digits of 13843 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.

LaTeX source of the formulas on this page
\[ 13843 = 109 \times 127 \]

13843 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors14080
Euler totient φ(n)13608
Square191628649
Cube2652715388107
Square root117.656279
Digit sum / digital root19 / 1
Collatz steps to 176
Scientific notation1.3843 × 10410^{4}

13843 in other forms

FormValue
In wordsthirteen thousand eight hundred and forty-three
Binary (base 2)11011000010011
Octal (base 8)33023
Hexadecimal (base 16)3613
Base 3200222201
As time13843 seconds = 3 h 50 min 43 s

Is 13843 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.
5No (remainder 3)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 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.
8No (remainder 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 5)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 13843 a prime number?

No. 13843 = 109 × 127, so it is divisible by 109.

What are the factors of 13843?

1, 109, 127, 13843.

What is 13843 in binary?

11011000010011 (hexadecimal 3613, octal 33023).

What is the square root of 13843?

About 117.6563.

Is 13843 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 13843?

13843 is a semiprime: 109 × 127, the product of two primes.

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    13843: is it prime? Factors, square root, binary, Roman numeral | WordGPT