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The number 14027

14027 is a composite number with 6 divisors. Its prime factorisation is 13213^{2} Ɨ 83. Divisors (6): 1, 13, 83, 169, 1079, 14027.

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How to work it out

  1. 1

    What is special about 14027: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    14027 is composite. Its prime factorisation is

    14027=132Ɨ8314027 = 13^{2} \times 83
  3. 3

    The divisors add up to 15372; without 14027 itself that is 1345, so 14027 is deficient (1345 is less than 14027). Euler's totient φ(14027) = 12792 numbers up to 14027 share no factor with it.

  4. 4

    The digits of 14027 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.

LaTeX source of the formulas on this page
\[ 14027 = 13^{2} \times 83 \]

14027 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors15372
Euler totient φ(n)12792
Square196756729
Cube2759906637683
Square root118.435637 (= 13√83)
Digit sum / digital root14 / 5
Collatz steps to 1107
Scientific notation1.4027 Ɨ 10410^{4}

14027 in other forms

FormValue
In wordsfourteen thousand and twenty-seven
Binary (base 2)11011011001011
Octal (base 8)33313
Hexadecimal (base 16)36CB
Base 3201020112
As time14027 seconds = 3 h 53 min 47 s

Is 14027 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 2)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 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 6)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 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 14027 a prime number?

No. 14027 = 13213^{2} Ɨ 83, so it is divisible by 13.

What are the factors of 14027?

1, 13, 83, 169, 1079, 14027.

What is 14027 in binary?

11011011001011 (hexadecimal 36CB, octal 33313).

What is the square root of 14027?

About 118.4356, exactly 13√83.

Is 14027 divisible by 3?

No. Its digits add up to 14, which is not a multiple of 3.

What is special about the number 14027?

14027 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    14027: is it prime? Factors, square root, binary, Roman numeral | WordGPT