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The number 50225

50225 is a composite number with 18 divisors. Its prime factorisation is 525^{2} × 727^{2} × 41. Divisors (18): 1, 5, 7, 25, 35, 41, 49, 175, 205, 245, 287, 1025, 1225, 1435, 2009, 7175 … 50225.

Number

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How to work it out

  1. 1

    50225 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

    50225 is composite. Its prime factorisation is

    50225=52×72×4150225 = 5^{2} \times 7^{2} \times 41
  3. 3

    The divisors add up to 74214; without 50225 itself that is 23989, so 50225 is deficient (23989 is less than 50225). Euler's totient φ(50225) = 33600 numbers up to 50225 share no factor with it.

  4. 4

    The digits of 50225 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.

LaTeX source of the formulas on this page
\[ 50225 = 5^{2} \times 7^{2} \times 41 \]

50225 at a glance

PropertyValue
Typecomposite
Number of divisors18
Sum of divisors74214
Euler totient φ(n)33600
Square2522550625
Cube126695105140625
Square root224.109348 (= 35√41)
Digit sum / digital root14 / 5
Collatz steps to 1109
Scientific notation5.0225 × 10410^{4}

50225 in other forms

FormValue
In wordsfifty thousand two hundred and twenty-five
Binary (base 2)1100010000110001
Octal (base 8)142061
Hexadecimal (base 16)C431
Base 32112220012
As time50225 seconds = 13 h 57 min 5 s

Is 50225 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).
3No (remainder 2)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 (50225 ÷ 5 = 10045)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (50225 ÷ 7 = 7175)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)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 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 50225 a prime number?

No. 50225 = 525^{2} × 727^{2} × 41, so it is divisible by 5.

What are the factors of 50225?

1, 5, 7, 25, 35, 41, 49, 175, 205, 245, 287, 1025, 1225, 1435, 2009, 7175, 10045, 50225.

What is 50225 in binary?

1100010000110001 (hexadecimal C431, octal 142061).

What is the square root of 50225?

About 224.1093, exactly 35√41.

Is 50225 divisible by 3?

No. Its digits add up to 14, which is not a multiple of 3.

What is special about the number 50225?

It is a composite number with 18 divisors.

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    50225: is it prime? Factors, square root, binary, Roman numeral | WordGPT