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The number 42423

42423 is a composite number with 8 divisors. Its prime factorisation is 3 × 79 × 179. Divisors (8): 1, 3, 79, 179, 237, 537, 14141, 42423.

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How to work it out

  1. 1

    What is special about 42423: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    42423 is composite. Its prime factorisation is

    42423=3×79×17942423 = 3 \times 79 \times 179
  3. 3

    The divisors add up to 57600; without 42423 itself that is 15177, so 42423 is deficient (15177 is less than 42423). Euler's totient φ(42423) = 27768 numbers up to 42423 share no factor with it.

  4. 4

    The digits of 42423 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 225 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42423 = 3 \times 79 \times 179 \]

42423 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors57600
Euler totient φ(n)27768
Square1799710929
Cube76349136740967
Square root205.968444
Digit sum / digital root15 / 6
Collatz steps to 1225
Scientific notation4.2423 × 10410^{4}

42423 in other forms

FormValue
In wordsforty-two thousand four hundred and twenty-three
Binary (base 2)1010010110110111
Octal (base 8)122667
Hexadecimal (base 16)A5B7
Base 32011012020
As time42423 seconds = 11 h 47 min 3 s

Is 42423 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).
3Yes (42423 ÷ 3 = 14141)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 3)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 6)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.
11No (remainder 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 42423 a prime number?

No. 42423 = 3 × 79 × 179, so it is divisible by 3.

What are the factors of 42423?

1, 3, 79, 179, 237, 537, 14141, 42423.

What is 42423 in binary?

1010010110110111 (hexadecimal A5B7, octal 122667).

What is the square root of 42423?

About 205.9684.

Is 42423 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 42423?

42423 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    42423: is it prime? Factors, square root, binary, Roman numeral | WordGPT