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The number 50774

50774 is a composite number with 8 divisors. Its prime factorisation is 2 × 53 × 479. Divisors (8): 1, 2, 53, 106, 479, 958, 25387, 50774.

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How to work it out

  1. 1

    What is special about 50774: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    50774 is composite. Its prime factorisation is

    50774=2×53×47950774 = 2 \times 53 \times 479
  3. 3

    The divisors add up to 77760; without 50774 itself that is 26986, so 50774 is deficient (26986 is less than 50774). Euler's totient φ(50774) = 24856 numbers up to 50774 share no factor with it.

  4. 4

    The digits of 50774 add up to 23, 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
\[ 50774 = 2 \times 53 \times 479 \]

50774 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors77760
Euler totient φ(n)24856
Square2577999076
Cube130895325084824
Square root225.330868
Digit sum / digital root23 / 5
Collatz steps to 1109
Scientific notation5.0774 × 10410^{4}

50774 in other forms

FormValue
In wordsfifty thousand seven hundred and seventy-four
Binary (base 2)1100011001010110
Octal (base 8)143126
Hexadecimal (base 16)C656
Base 32120122112
As time50774 seconds = 14 h 6 min 14 s

Is 50774 divisible by 2 to 12?

DivisorAnswerRule
2Yes (50774 ÷ 2 = 25387)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 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)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 6)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 4)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 50774 a prime number?

No. 50774 = 2 × 53 × 479, so it is divisible by 2.

What are the factors of 50774?

1, 2, 53, 106, 479, 958, 25387, 50774.

What is 50774 in binary?

1100011001010110 (hexadecimal C656, octal 143126).

What is the square root of 50774?

About 225.3309.

Is 50774 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 50774?

50774 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    50774: is it prime? Factors, square root, binary, Roman numeral | WordGPT