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The number 13891

13891 is a composite number with 4 divisors. Its prime factorisation is 29 × 479. Divisors (4): 1, 29, 479, 13891.

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How to work it out

  1. 1

    What is special about 13891: a semiprime: 29 × 479, the product of two primes.

  2. 2

    13891 is composite. Its prime factorisation is

    13891=29×47913891 = 29 \times 479
  3. 3

    The divisors add up to 14400; without 13891 itself that is 509, so 13891 is deficient (509 is less than 13891). Euler's totient φ(13891) = 13384 numbers up to 13891 share no factor with it.

  4. 4

    The digits of 13891 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 45 steps to reach 1.

LaTeX source of the formulas on this page
\[ 13891 = 29 \times 479 \]

13891 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors14400
Euler totient φ(n)13384
Square192959881
Cube2680405706971
Square root117.860087
Digit sum / digital root22 / 4
Collatz steps to 145
Scientific notation1.3891 × 10410^{4}

13891 in other forms

FormValue
In wordsthirteen thousand eight hundred and ninety-one
Binary (base 2)11011001000011
Octal (base 8)33103
Hexadecimal (base 16)3643
Base 3201001111
As time13891 seconds = 3 h 51 min 31 s

Is 13891 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 1)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 3)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 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)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 13891 a prime number?

No. 13891 = 29 × 479, so it is divisible by 29.

What are the factors of 13891?

1, 29, 479, 13891.

What is 13891 in binary?

11011001000011 (hexadecimal 3643, octal 33103).

What is the square root of 13891?

About 117.8601.

Is 13891 divisible by 3?

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

What is special about the number 13891?

13891 is a semiprime: 29 × 479, the product of two primes.

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