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The number 14021

14021 is a composite number with 4 divisors. Its prime factorisation is 7 × 2003. Divisors (4): 1, 7, 2003, 14021.

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How to work it out

  1. 1

    What is special about 14021: a semiprime: 7 × 2003, the product of two primes.

  2. 2

    14021 is composite. Its prime factorisation is

    14021=7×200314021 = 7 \times 2003
  3. 3

    The divisors add up to 16032; without 14021 itself that is 2011, so 14021 is deficient (2011 is less than 14021). Euler's totient φ(14021) = 12012 numbers up to 14021 share no factor with it.

  4. 4

    The digits of 14021 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.

LaTeX source of the formulas on this page
\[ 14021 = 7 \times 2003 \]

14021 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors16032
Euler totient φ(n)12012
Square196588441
Cube2756366531261
Square root118.410304
Digit sum / digital root8 / 8
Collatz steps to 158
Scientific notation1.4021 × 10410^{4}

14021 in other forms

FormValue
In wordsfourteen thousand and twenty-one
Binary (base 2)11011011000101
Octal (base 8)33305
Hexadecimal (base 16)36C5
Base 3201020022
As time14021 seconds = 3 h 53 min 41 s

Is 14021 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 1)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 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (14021 ÷ 7 = 2003)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)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 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 14021 a prime number?

No. 14021 = 7 × 2003, so it is divisible by 7.

What are the factors of 14021?

1, 7, 2003, 14021.

What is 14021 in binary?

11011011000101 (hexadecimal 36C5, octal 33305).

What is the square root of 14021?

About 118.4103.

Is 14021 divisible by 3?

No. Its digits add up to 8, which is not a multiple of 3.

What is special about the number 14021?

14021 is a semiprime: 7 × 2003, the product of two primes.

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    14021: is it prime? Factors, square root, binary, Roman numeral | WordGPT