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The number 42385

42385 is a composite number with 12 divisors. Its prime factorisation is 5 × 727^{2} × 173. Divisors (12): 1, 5, 7, 35, 49, 173, 245, 865, 1211, 6055, 8477, 42385.

Number

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How to work it out

  1. 1

    42385 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    42385 is composite. Its prime factorisation is

    42385=5×72×17342385 = 5 \times 7^{2} \times 173
  3. 3

    The divisors add up to 59508; without 42385 itself that is 17123, so 42385 is deficient (17123 is less than 42385). Euler's totient φ(42385) = 28896 numbers up to 42385 share no factor with it.

  4. 4

    The digits of 42385 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42385 = 5 \times 7^{2} \times 173 \]

42385 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors59508
Euler totient φ(n)28896
Square1796488225
Cube76144153416625
Square root205.876176 (= 7√865)
Digit sum / digital root22 / 4
Collatz steps to 157
Scientific notation4.2385 × 10410^{4}

42385 in other forms

FormValue
In wordsforty-two thousand three hundred and eighty-five
Binary (base 2)1010010110010001
Octal (base 8)122621
Hexadecimal (base 16)A591
Base 32011010211
As time42385 seconds = 11 h 46 min 25 s

Is 42385 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 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (42385 ÷ 5 = 8477)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.
7Yes (42385 ÷ 7 = 6055)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 5)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 42385 a prime number?

No. 42385 = 5 × 727^{2} × 173, so it is divisible by 5.

What are the factors of 42385?

1, 5, 7, 35, 49, 173, 245, 865, 1211, 6055, 8477, 42385.

What is 42385 in binary?

1010010110010001 (hexadecimal A591, octal 122621).

What is the square root of 42385?

About 205.8762, exactly 7√865.

Is 42385 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 42385?

It is a composite number with 12 divisors.

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    42385: is it prime? Factors, square root, binary, Roman numeral | WordGPT