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The number 42185

42185 is a composite number with 16 divisors. Its prime factorisation is 5 × 11 × 13 × 59. Divisors (16): 1, 5, 11, 13, 55, 59, 65, 143, 295, 649, 715, 767, 3245, 3835, 8437, 42185.

Number

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How to work it out

  1. 1

    42185 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

    42185 is composite. Its prime factorisation is

    42185=5×11×13×5942185 = 5 \times 11 \times 13 \times 59
  3. 3

    The divisors add up to 60480; without 42185 itself that is 18295, so 42185 is deficient (18295 is less than 42185). Euler's totient φ(42185) = 27840 numbers up to 42185 share no factor with it.

  4. 4

    The digits of 42185 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42185 = 5 \times 11 \times 13 \times 59 \]

42185 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors60480
Euler totient φ(n)27840
Square1779574225
Cube75071338681625
Square root205.389873
Digit sum / digital root20 / 2
Collatz steps to 180
Scientific notation4.2185 × 10410^{4}

42185 in other forms

FormValue
In wordsforty-two thousand one hundred and eighty-five
Binary (base 2)1010010011001001
Octal (base 8)122311
Hexadecimal (base 16)A4C9
Base 32010212102
As time42185 seconds = 11 h 43 min 5 s

Is 42185 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 2)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 (42185 ÷ 5 = 8437)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)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.
11Yes (42185 ÷ 11 = 3835)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 42185 a prime number?

No. 42185 = 5 × 11 × 13 × 59, so it is divisible by 5.

What are the factors of 42185?

1, 5, 11, 13, 55, 59, 65, 143, 295, 649, 715, 767, 3245, 3835, 8437, 42185.

What is 42185 in binary?

1010010011001001 (hexadecimal A4C9, octal 122311).

What is the square root of 42185?

About 205.3899.

Is 42185 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 42185?

It is a composite number with 16 divisors.

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    42185: is it prime? Factors, square root, binary, Roman numeral | WordGPT