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The number 50036

50036 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 7 × 1787. Divisors (12): 1, 2, 4, 7, 14, 28, 1787, 3574, 7148, 12509, 25018, 50036.

Number

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How to work it out

  1. 1

    What is special about 50036: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 14.

  2. 2

    50036 is composite. Its prime factorisation is

    50036=22×7×178750036 = 2^{2} \times 7 \times 1787
  3. 3

    The divisors add up to 100128; without 50036 itself that is 50092, so 50036 is abundant (50092 is more than 50036). Euler's totient φ(50036) = 21432 numbers up to 50036 share no factor with it.

  4. 4

    The digits of 50036 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 158 steps to reach 1.

LaTeX source of the formulas on this page
\[ 50036 = 2^{2} \times 7 \times 1787 \]

50036 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors100128
Euler totient φ(n)21432
Square2503601296
Cube125270194446656
Square root223.687282 (= 2√12509)
Digit sum / digital root14 / 5
Collatz steps to 1158
Scientific notation5.0036 × 10410^{4}

50036 in other forms

FormValue
In wordsfifty thousand and thirty-six
Binary (base 2)1100001101110100
Octal (base 8)141564
Hexadecimal (base 16)C374
Base 32112122012
As time50036 seconds = 13 h 53 min 56 s

Is 50036 divisible by 2 to 12?

DivisorAnswerRule
2Yes (50036 ÷ 2 = 25018)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.
4Yes (50036 ÷ 4 = 12509)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 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (50036 ÷ 7 = 7148)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 5)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 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 50036 a prime number?

No. 50036 = 222^{2} × 7 × 1787, so it is divisible by 2.

What are the factors of 50036?

1, 2, 4, 7, 14, 28, 1787, 3574, 7148, 12509, 25018, 50036.

What is 50036 in binary?

1100001101110100 (hexadecimal C374, octal 141564).

What is the square root of 50036?

About 223.6873, exactly 2√12509.

Is 50036 divisible by 3?

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

What is special about the number 50036?

50036 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 14.

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