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The number 42163

42163 is a composite number with 4 divisors. Its prime factorisation is 11 × 3833. Divisors (4): 1, 11, 3833, 42163.

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How to work it out

  1. 1

    What is special about 42163: a semiprime: 11 × 3833, the product of two primes.

  2. 2

    42163 is composite. Its prime factorisation is

    42163=11×383342163 = 11 \times 3833
  3. 3

    The divisors add up to 46008; without 42163 itself that is 3845, so 42163 is deficient (3845 is less than 42163). Euler's totient φ(42163) = 38320 numbers up to 42163 share no factor with it.

  4. 4

    The digits of 42163 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 194 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42163 = 11 \times 3833 \]

42163 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors46008
Euler totient φ(n)38320
Square1777718569
Cube74953948024747
Square root205.336310
Digit sum / digital root16 / 7
Collatz steps to 1194
Scientific notation4.2163 × 10410^{4}

42163 in other forms

FormValue
In wordsforty-two thousand one hundred and sixty-three
Binary (base 2)1010010010110011
Octal (base 8)122263
Hexadecimal (base 16)A4B3
Base 32010211121
As time42163 seconds = 11 h 42 min 43 s

Is 42163 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)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 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)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 3)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 3)A number is divisible by 10 if the last digit is 0.
11Yes (42163 ÷ 11 = 3833)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 42163 a prime number?

No. 42163 = 11 × 3833, so it is divisible by 11.

What are the factors of 42163?

1, 11, 3833, 42163.

What is 42163 in binary?

1010010010110011 (hexadecimal A4B3, octal 122263).

What is the square root of 42163?

About 205.3363.

Is 42163 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 42163?

42163 is a semiprime: 11 × 3833, the product of two primes.

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    42163: is it prime? Factors, square root, binary, Roman numeral | WordGPT