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The number 50094

50094 is a composite number with 36 divisors. Its prime factorisation is 2 × 323^{2} × 11211^{2} × 23. Divisors (36): 1, 2, 3, 6, 9, 11, 18, 22, 23, 33, 46, 66, 69, 99, 121, 138 … 50094.

Number

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How to work it out

  1. 1

    What is special about 50094: a Harshad number: divisible by its digit sum 18.

  2. 2

    50094 is composite. Its prime factorisation is

    50094=2×32×112×2350094 = 2 \times 3^{2} \times 11^{2} \times 23
  3. 3

    The divisors add up to 124488; without 50094 itself that is 74394, so 50094 is abundant (74394 is more than 50094). Euler's totient φ(50094) = 14520 numbers up to 50094 share no factor with it.

  4. 4

    The digits of 50094 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 70 steps to reach 1.

LaTeX source of the formulas on this page
\[ 50094 = 2 \times 3^{2} \times 11^{2} \times 23 \]

50094 at a glance

PropertyValue
Typecomposite
Number of divisors36
Sum of divisors124488
Euler totient φ(n)14520
Square2509408836
Cube125706326230584
Square root223.816889 (= 33√46)
Digit sum / digital root18 / 9
Collatz steps to 170
Scientific notation5.0094 × 10410^{4}

50094 in other forms

FormValue
In wordsfifty thousand and ninety-four
Binary (base 2)1100001110101110
Octal (base 8)141656
Hexadecimal (base 16)C3AE
Base 32112201100
As time50094 seconds = 13 h 54 min 54 s

Is 50094 divisible by 2 to 12?

DivisorAnswerRule
2Yes (50094 ÷ 2 = 25047)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (50094 ÷ 3 = 16698)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.
6Yes (50094 ÷ 6 = 8349)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 6)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (50094 ÷ 9 = 5566)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.
11Yes (50094 ÷ 11 = 4554)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 50094 a prime number?

No. 50094 = 2 × 323^{2} × 11211^{2} × 23, so it is divisible by 2.

What are the factors of 50094?

1, 2, 3, 6, 9, 11, 18, 22, 23, 33, 46, 66, 69, 99, 121, 138, 198, 207, 242, 253, 363, 414, 506, 726, 759, 1089, 1518, 2178, 2277, 2783, 4554, 5566, 8349, 16698, 25047, 50094.

What is 50094 in binary?

1100001110101110 (hexadecimal C3AE, octal 141656).

What is the square root of 50094?

About 223.8169, exactly 33√46.

Is 50094 divisible by 3?

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

What is special about the number 50094?

50094 is a Harshad number: divisible by its digit sum 18.

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