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The number 50346

50346 is a composite number with 12 divisors. Its prime factorisation is 2 × 323^{2} × 2797. Divisors (12): 1, 2, 3, 6, 9, 18, 2797, 5594, 8391, 16782, 25173, 50346.

Number

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How to work it out

  1. 1

    What is special about 50346: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.

  2. 2

    50346 is composite. Its prime factorisation is

    50346=2×32×279750346 = 2 \times 3^{2} \times 2797
  3. 3

    The divisors add up to 109122; without 50346 itself that is 58776, so 50346 is abundant (58776 is more than 50346). Euler's totient φ(50346) = 16776 numbers up to 50346 share no factor with it.

  4. 4

    The digits of 50346 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.

LaTeX source of the formulas on this page
\[ 50346 = 2 \times 3^{2} \times 2797 \]

50346 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors109122
Euler totient φ(n)16776
Square2534719716
Cube127612998821736
Square root224.379143 (= 3√5594)
Digit sum / digital root18 / 9
Collatz steps to 165
Scientific notation5.0346 × 10410^{4}

50346 in other forms

FormValue
In wordsfifty thousand three hundred and forty-six
Binary (base 2)1100010010101010
Octal (base 8)142252
Hexadecimal (base 16)C4AA
Base 32120001200
As time50346 seconds = 13 h 59 min 6 s

Is 50346 divisible by 2 to 12?

DivisorAnswerRule
2Yes (50346 ÷ 2 = 25173)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (50346 ÷ 3 = 16782)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 1)A number is divisible by 5 if the last digit is 0 or 5.
6Yes (50346 ÷ 6 = 8391)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 2)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 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (50346 ÷ 9 = 5594)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 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 6)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 50346 a prime number?

No. 50346 = 2 × 323^{2} × 2797, so it is divisible by 2.

What are the factors of 50346?

1, 2, 3, 6, 9, 18, 2797, 5594, 8391, 16782, 25173, 50346.

What is 50346 in binary?

1100010010101010 (hexadecimal C4AA, octal 142252).

What is the square root of 50346?

About 224.3791, exactly 3√5594.

Is 50346 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 50346?

50346 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.

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