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The number 14182

14182 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 1013. Divisors (8): 1, 2, 7, 14, 1013, 2026, 7091, 14182.

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How to work it out

  1. 1

    What is special about 14182: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    14182 is composite. Its prime factorisation is

    14182=2×7×101314182 = 2 \times 7 \times 1013
  3. 3

    The divisors add up to 24336; without 14182 itself that is 10154, so 14182 is deficient (10154 is less than 14182). Euler's totient φ(14182) = 6072 numbers up to 14182 share no factor with it.

  4. 4

    The digits of 14182 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.

LaTeX source of the formulas on this page
\[ 14182 = 2 \times 7 \times 1013 \]

14182 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors24336
Euler totient φ(n)6072
Square201129124
Cube2852413236568
Square root119.088203
Digit sum / digital root16 / 7
Collatz steps to 158
Scientific notation1.4182 × 10410^{4}

14182 in other forms

FormValue
In wordsfourteen thousand one hundred and eighty-two
Binary (base 2)11011101100110
Octal (base 8)33546
Hexadecimal (base 16)3766
Base 3201110021
As time14182 seconds = 3 h 56 min 22 s

Is 14182 divisible by 2 to 12?

DivisorAnswerRule
2Yes (14182 ÷ 2 = 7091)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 2)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 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (14182 ÷ 7 = 2026)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 6)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 2)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 14182 a prime number?

No. 14182 = 2 × 7 × 1013, so it is divisible by 2.

What are the factors of 14182?

1, 2, 7, 14, 1013, 2026, 7091, 14182.

What is 14182 in binary?

11011101100110 (hexadecimal 3766, octal 33546).

What is the square root of 14182?

About 119.0882.

Is 14182 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 14182?

14182 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    14182: is it prime? Factors, square root, binary, Roman numeral | WordGPT