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The number 50525

50525 is a composite number with 12 divisors. Its prime factorisation is 525^{2} × 43 × 47. Divisors (12): 1, 5, 25, 43, 47, 215, 235, 1075, 1175, 2021, 10105, 50525.

Number

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How to work it out

  1. 1

    What is special about 50525: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    50525 is composite. Its prime factorisation is

    50525=52×43×4750525 = 5^{2} \times 43 \times 47
  3. 3

    The divisors add up to 65472; without 50525 itself that is 14947, so 50525 is deficient (14947 is less than 50525). Euler's totient φ(50525) = 38640 numbers up to 50525 share no factor with it.

  4. 4

    The digits of 50525 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 65 steps to reach 1.

LaTeX source of the formulas on this page
\[ 50525 = 5^{2} \times 43 \times 47 \]

50525 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors65472
Euler totient φ(n)38640
Square2552775625
Cube128978988453125
Square root224.777668 (= 5√2021)
Digit sum / digital root17 / 8
Collatz steps to 165
Scientific notation5.0525 × 10410^{4}

50525 in other forms

FormValue
In wordsfifty thousand five hundred and twenty-five
Binary (base 2)1100010101011101
Octal (base 8)142535
Hexadecimal (base 16)C55D
Base 32120022022
As time50525 seconds = 14 h 2 min 5 s

Is 50525 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 (50525 ÷ 5 = 10105)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.
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 8)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 2)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 50525 a prime number?

No. 50525 = 525^{2} × 43 × 47, so it is divisible by 5.

What are the factors of 50525?

1, 5, 25, 43, 47, 215, 235, 1075, 1175, 2021, 10105, 50525.

What is 50525 in binary?

1100010101011101 (hexadecimal C55D, octal 142535).

What is the square root of 50525?

About 224.7777, exactly 5√2021.

Is 50525 divisible by 3?

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

What is special about the number 50525?

50525 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    50525: is it prime? Factors, square root, binary, Roman numeral | WordGPT