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The number 42850

42850 is a composite number with 12 divisors. Its prime factorisation is 2 × 525^{2} × 857. Divisors (12): 1, 2, 5, 10, 25, 50, 857, 1714, 4285, 8570, 21425, 42850.

Number

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How to work it out

  1. 1

    What is special about 42850: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    42850 is composite. Its prime factorisation is

    42850=2×52×85742850 = 2 \times 5^{2} \times 857
  3. 3

    The divisors add up to 79794; without 42850 itself that is 36944, so 42850 is deficient (36944 is less than 42850). Euler's totient φ(42850) = 17120 numbers up to 42850 share no factor with it.

  4. 4

    The digits of 42850 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42850 = 2 \times 5^{2} \times 857 \]

42850 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors79794
Euler totient φ(n)17120
Square1836122500
Cube78677849125000
Square root207.002415 (= 5√1714)
Digit sum / digital root19 / 1
Collatz steps to 131
Scientific notation4.285 × 10410^{4}

42850 in other forms

FormValue
In wordsforty-two thousand eight hundred and fifty
Binary (base 2)1010011101100010
Octal (base 8)123542
Hexadecimal (base 16)A762
Base 32011210001
As time42850 seconds = 11 h 54 min 10 s

Is 42850 divisible by 2 to 12?

DivisorAnswerRule
2Yes (42850 ÷ 2 = 21425)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.
4No (remainder 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (42850 ÷ 5 = 8570)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.
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 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10Yes (42850 ÷ 10 = 4285)A number is divisible by 10 if the last digit is 0.
11No (remainder 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 42850 a prime number?

No. 42850 = 2 × 525^{2} × 857, so it is divisible by 2.

What are the factors of 42850?

1, 2, 5, 10, 25, 50, 857, 1714, 4285, 8570, 21425, 42850.

What is 42850 in binary?

1010011101100010 (hexadecimal A762, octal 123542).

What is the square root of 42850?

About 207.0024, exactly 5√1714.

Is 42850 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 42850?

42850 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    42850: is it prime? Factors, square root, binary, Roman numeral | WordGPT