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The number 50133

50133 is a composite number with 8 divisors. Its prime factorisation is 3 × 17 × 983. Divisors (8): 1, 3, 17, 51, 983, 2949, 16711, 50133.

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How to work it out

  1. 1

    What is special about 50133: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    50133 is composite. Its prime factorisation is

    50133=3×17×98350133 = 3 \times 17 \times 983
  3. 3

    The divisors add up to 70848; without 50133 itself that is 20715, so 50133 is deficient (20715 is less than 50133). Euler's totient φ(50133) = 31424 numbers up to 50133 share no factor with it.

  4. 4

    The digits of 50133 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.

LaTeX source of the formulas on this page
\[ 50133 = 3 \times 17 \times 983 \]

50133 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors70848
Euler totient φ(n)31424
Square2513317689
Cube126000155702637
Square root223.903997
Digit sum / digital root12 / 3
Collatz steps to 1127
Scientific notation5.0133 × 10410^{4}

50133 in other forms

FormValue
In wordsfifty thousand one hundred and thirty-three
Binary (base 2)1100001111010101
Octal (base 8)141725
Hexadecimal (base 16)C3D5
Base 32112202210
As time50133 seconds = 13 h 55 min 33 s

Is 50133 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 (50133 ÷ 3 = 16711)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 3)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 3)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 50133 a prime number?

No. 50133 = 3 × 17 × 983, so it is divisible by 3.

What are the factors of 50133?

1, 3, 17, 51, 983, 2949, 16711, 50133.

What is 50133 in binary?

1100001111010101 (hexadecimal C3D5, octal 141725).

What is the square root of 50133?

About 223.9040.

Is 50133 divisible by 3?

Yes. Its digits add up to 12, a multiple of 3.

What is special about the number 50133?

50133 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    50133: is it prime? Factors, square root, binary, Roman numeral | WordGPT