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The number 13849

13849 is a composite number with 4 divisors. Its prime factorisation is 11 × 1259. Divisors (4): 1, 11, 1259, 13849.

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How to work it out

  1. 1

    What is special about 13849: a semiprime: 11 × 1259, the product of two primes.

  2. 2

    13849 is composite. Its prime factorisation is

    13849=11×125913849 = 11 \times 1259
  3. 3

    The divisors add up to 15120; without 13849 itself that is 1271, so 13849 is deficient (1271 is less than 13849). Euler's totient φ(13849) = 12580 numbers up to 13849 share no factor with it.

  4. 4

    The digits of 13849 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.

LaTeX source of the formulas on this page
\[ 13849 = 11 \times 1259 \]

13849 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors15120
Euler totient φ(n)12580
Square191794801
Cube2656166199049
Square root117.681774
Digit sum / digital root25 / 7
Collatz steps to 189
Scientific notation1.3849 × 10410^{4}

13849 in other forms

FormValue
In wordsthirteen thousand eight hundred and forty-nine
Binary (base 2)11011000011001
Octal (base 8)33031
Hexadecimal (base 16)3619
Base 3200222221
As time13849 seconds = 3 h 50 min 49 s

Is 13849 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 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)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 3)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11Yes (13849 ÷ 11 = 1259)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 13849 a prime number?

No. 13849 = 11 × 1259, so it is divisible by 11.

What are the factors of 13849?

1, 11, 1259, 13849.

What is 13849 in binary?

11011000011001 (hexadecimal 3619, octal 33031).

What is the square root of 13849?

About 117.6818.

Is 13849 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 13849?

13849 is a semiprime: 11 × 1259, the product of two primes.

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    13849: is it prime? Factors, square root, binary, Roman numeral | WordGPT