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The number 50228

50228 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 29 × 433. Divisors (12): 1, 2, 4, 29, 58, 116, 433, 866, 1732, 12557, 25114, 50228.

Number

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How to work it out

  1. 1

    What is special about 50228: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    50228 is composite. Its prime factorisation is

    50228=22×29×43350228 = 2^{2} \times 29 \times 433
  3. 3

    The divisors add up to 91140; without 50228 itself that is 40912, so 50228 is deficient (40912 is less than 50228). Euler's totient φ(50228) = 24192 numbers up to 50228 share no factor with it.

  4. 4

    The digits of 50228 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.

LaTeX source of the formulas on this page
\[ 50228 = 2^{2} \times 29 \times 433 \]

50228 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors91140
Euler totient φ(n)24192
Square2522851984
Cube126717809452352
Square root224.116041 (= 2√12557)
Digit sum / digital root17 / 8
Collatz steps to 139
Scientific notation5.0228 × 10410^{4}

50228 in other forms

FormValue
In wordsfifty thousand two hundred and twenty-eight
Binary (base 2)1100010000110100
Octal (base 8)142064
Hexadecimal (base 16)C434
Base 32112220022
As time50228 seconds = 13 h 57 min 8 s

Is 50228 divisible by 2 to 12?

DivisorAnswerRule
2Yes (50228 ÷ 2 = 25114)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.
4Yes (50228 ÷ 4 = 12557)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)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 4)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 8)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 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 50228 a prime number?

No. 50228 = 222^{2} × 29 × 433, so it is divisible by 2.

What are the factors of 50228?

1, 2, 4, 29, 58, 116, 433, 866, 1732, 12557, 25114, 50228.

What is 50228 in binary?

1100010000110100 (hexadecimal C434, octal 142064).

What is the square root of 50228?

About 224.1160, exactly 2√12557.

Is 50228 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 50228?

50228 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    50228: is it prime? Factors, square root, binary, Roman numeral | WordGPT