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The number 14131

14131 is a composite number with 4 divisors. Its prime factorisation is 13 × 1087. Divisors (4): 1, 13, 1087, 14131.

Number

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How to work it out

  1. 1

    What is special about 14131: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 1087, the product of two primes.

  2. 2

    14131 is composite. Its prime factorisation is

    14131=13×108714131 = 13 \times 1087
  3. 3

    The divisors add up to 15232; without 14131 itself that is 1101, so 14131 is deficient (1101 is less than 14131). Euler's totient φ(14131) = 13032 numbers up to 14131 share no factor with it.

  4. 4

    The digits of 14131 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 102 steps to reach 1.

LaTeX source of the formulas on this page
\[ 14131 = 13 \times 1087 \]

14131 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors15232
Euler totient φ(n)13032
Square199685161
Cube2821751010091
Square root118.873883
Digit sum / digital root10 / 1
Collatz steps to 1102
Scientific notation1.4131 × 10410^{4}

14131 in other forms

FormValue
In wordsfourteen thousand one hundred and thirty-one
Binary (base 2)11011100110011
Octal (base 8)33463
Hexadecimal (base 16)3733
Base 3201101101
As time14131 seconds = 3 h 55 min 31 s

Is 14131 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 5)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 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 7)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 14131 a prime number?

No. 14131 = 13 × 1087, so it is divisible by 13.

What are the factors of 14131?

1, 13, 1087, 14131.

What is 14131 in binary?

11011100110011 (hexadecimal 3733, octal 33463).

What is the square root of 14131?

About 118.8739.

Is 14131 divisible by 3?

No. Its digits add up to 10, which is not a multiple of 3.

What is special about the number 14131?

14131 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 1087, the product of two primes.

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    14131: is it prime? Factors, square root, binary, Roman numeral | WordGPT