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The number 50596

50596 is a composite number with 24 divisors. Its prime factorisation is 222^{2} × 7 × 13 × 139. Divisors (24): 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 139, 182, 278, 364, 556, 973 … 50596.

Number

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How to work it out

  1. 1

    What is special about 50596: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    50596 is composite. Its prime factorisation is

    50596=22×7×13×13950596 = 2^{2} \times 7 \times 13 \times 139
  3. 3

    The divisors add up to 109760; without 50596 itself that is 59164, so 50596 is abundant (59164 is more than 50596). Euler's totient φ(50596) = 19872 numbers up to 50596 share no factor with it.

  4. 4

    The digits of 50596 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.

LaTeX source of the formulas on this page
\[ 50596 = 2^{2} \times 7 \times 13 \times 139 \]

50596 at a glance

PropertyValue
Typecomposite
Number of divisors24
Sum of divisors109760
Euler totient φ(n)19872
Square2559955216
Cube129523494108736
Square root224.935546 (= 2√12649)
Digit sum / digital root25 / 7
Collatz steps to 165
Scientific notation5.0596 × 10410^{4}

50596 in other forms

FormValue
In wordsfifty thousand five hundred and ninety-six
Binary (base 2)1100010110100100
Octal (base 8)142644
Hexadecimal (base 16)C5A4
Base 32120101221
As time50596 seconds = 14 h 3 min 16 s

Is 50596 divisible by 2 to 12?

DivisorAnswerRule
2Yes (50596 ÷ 2 = 25298)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (50596 ÷ 4 = 12649)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (50596 ÷ 7 = 7228)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 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 6)A number is divisible by 10 if the last digit is 0.
11No (remainder 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 50596 a prime number?

No. 50596 = 222^{2} × 7 × 13 × 139, so it is divisible by 2.

What are the factors of 50596?

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 139, 182, 278, 364, 556, 973, 1807, 1946, 3614, 3892, 7228, 12649, 25298, 50596.

What is 50596 in binary?

1100010110100100 (hexadecimal C5A4, octal 142644).

What is the square root of 50596?

About 224.9355, exactly 2√12649.

Is 50596 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 50596?

50596 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    50596: is it prime? Factors, square root, binary, Roman numeral | WordGPT