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The number 50445

50445 is a composite number with 24 divisors. Its prime factorisation is 323^{2} × 5 × 19 × 59. Divisors (24): 1, 3, 5, 9, 15, 19, 45, 57, 59, 95, 171, 177, 285, 295, 531, 855 … 50445.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 50445: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    50445 is composite. Its prime factorisation is

    50445=32×5×19×5950445 = 3^{2} \times 5 \times 19 \times 59
  3. 3

    The divisors add up to 93600; without 50445 itself that is 43155, so 50445 is deficient (43155 is less than 50445). Euler's totient φ(50445) = 25056 numbers up to 50445 share no factor with it.

  4. 4

    The digits of 50445 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 65 steps to reach 1.

LaTeX source of the formulas on this page
\[ 50445 = 3^{2} \times 5 \times 19 \times 59 \]

50445 at a glance

PropertyValue
Typecomposite
Number of divisors24
Sum of divisors93600
Euler totient φ(n)25056
Square2544698025
Cube128367291871125
Square root224.599644 (= 3√5605)
Digit sum / digital root18 / 9
Collatz steps to 165
Scientific notation5.0445 × 10410^{4}

50445 in other forms

FormValue
In wordsfifty thousand four hundred and forty-five
Binary (base 2)1100010100001101
Octal (base 8)142415
Hexadecimal (base 16)C50D
Base 32120012100
As time50445 seconds = 14 h 0 min 45 s

Is 50445 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 (50445 ÷ 3 = 16815)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.
5Yes (50445 ÷ 5 = 10089)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 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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (50445 ÷ 9 = 5605)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 5)A number is divisible by 10 if the last digit is 0.
11No (remainder 10)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 50445 a prime number?

No. 50445 = 323^{2} × 5 × 19 × 59, so it is divisible by 3.

What are the factors of 50445?

1, 3, 5, 9, 15, 19, 45, 57, 59, 95, 171, 177, 285, 295, 531, 855, 885, 1121, 2655, 3363, 5605, 10089, 16815, 50445.

What is 50445 in binary?

1100010100001101 (hexadecimal C50D, octal 142415).

What is the square root of 50445?

About 224.5996, exactly 3√5605.

Is 50445 divisible by 3?

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

What is special about the number 50445?

50445 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    50445: is it prime? Factors, square root, binary, Roman numeral | WordGPT