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The number 50355

50355 is a composite number with 16 divisors. Its prime factorisation is 333^{3} × 5 × 373. Divisors (16): 1, 3, 5, 9, 15, 27, 45, 135, 373, 1119, 1865, 3357, 5595, 10071, 16785, 50355.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    50355 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    50355 is composite. Its prime factorisation is

    50355=33×5×37350355 = 3^{3} \times 5 \times 373
  3. 3

    The divisors add up to 89760; without 50355 itself that is 39405, so 50355 is deficient (39405 is less than 50355). Euler's totient φ(50355) = 26784 numbers up to 50355 share no factor with it.

  4. 4

    The digits of 50355 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 109 steps to reach 1.

LaTeX source of the formulas on this page
\[ 50355 = 3^{3} \times 5 \times 373 \]

50355 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors89760
Euler totient φ(n)26784
Square2535626025
Cube127681448488875
Square root224.399198 (= 3√5595)
Digit sum / digital root18 / 9
Collatz steps to 1109
Scientific notation5.0355 × 10410^{4}

50355 in other forms

FormValue
In wordsfifty thousand three hundred and fifty-five
Binary (base 2)1100010010110011
Octal (base 8)142263
Hexadecimal (base 16)C4B3
Base 32120002000
As time50355 seconds = 13 h 59 min 15 s

Is 50355 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 (50355 ÷ 3 = 16785)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.
5Yes (50355 ÷ 5 = 10071)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 4)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 (50355 ÷ 9 = 5595)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 8)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 50355 a prime number?

No. 50355 = 333^{3} × 5 × 373, so it is divisible by 3.

What are the factors of 50355?

1, 3, 5, 9, 15, 27, 45, 135, 373, 1119, 1865, 3357, 5595, 10071, 16785, 50355.

What is 50355 in binary?

1100010010110011 (hexadecimal C4B3, octal 142263).

What is the square root of 50355?

About 224.3992, exactly 3√5595.

Is 50355 divisible by 3?

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

What is special about the number 50355?

It is a composite number with 16 divisors.

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    50355: is it prime? Factors, square root, binary, Roman numeral | WordGPT