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The number 50427

50427 is a composite number with 12 divisors. Its prime factorisation is 323^{2} × 13 × 431. Divisors (12): 1, 3, 9, 13, 39, 117, 431, 1293, 3879, 5603, 16809, 50427.

Number

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How to work it out

  1. 1

    What is special about 50427: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    50427 is composite. Its prime factorisation is

    50427=32×13×43150427 = 3^{2} \times 13 \times 431
  3. 3

    The divisors add up to 78624; without 50427 itself that is 28197, so 50427 is deficient (28197 is less than 50427). Euler's totient φ(50427) = 30960 numbers up to 50427 share no factor with it.

  4. 4

    The digits of 50427 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 171 steps to reach 1.

LaTeX source of the formulas on this page
\[ 50427 = 3^{2} \times 13 \times 431 \]

50427 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors78624
Euler totient φ(n)30960
Square2542882329
Cube128229927204483
Square root224.559569 (= 3√5603)
Digit sum / digital root18 / 9
Collatz steps to 1171
Scientific notation5.0427 × 10410^{4}

50427 in other forms

FormValue
In wordsfifty thousand four hundred and twenty-seven
Binary (base 2)1100010011111011
Octal (base 8)142373
Hexadecimal (base 16)C4FB
Base 32120011200
As time50427 seconds = 14 h 0 min 27 s

Is 50427 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).
3Yes (50427 ÷ 3 = 16809)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 3)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.
9Yes (50427 ÷ 9 = 5603)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 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 50427 a prime number?

No. 50427 = 323^{2} × 13 × 431, so it is divisible by 3.

What are the factors of 50427?

1, 3, 9, 13, 39, 117, 431, 1293, 3879, 5603, 16809, 50427.

What is 50427 in binary?

1100010011111011 (hexadecimal C4FB, octal 142373).

What is the square root of 50427?

About 224.5596, exactly 3√5603.

Is 50427 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 50427?

50427 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    50427: is it prime? Factors, square root, binary, Roman numeral | WordGPT