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The number 41085

41085 is a composite number with 24 divisors. Its prime factorisation is 323^{2} × 5 × 11 × 83. Divisors (24): 1, 3, 5, 9, 11, 15, 33, 45, 55, 83, 99, 165, 249, 415, 495, 747 … 41085.

Number

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How to work it out

  1. 1

    41085 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

    41085 is composite. Its prime factorisation is

    41085=32×5×11×8341085 = 3^{2} \times 5 \times 11 \times 83
  3. 3

    The divisors add up to 78624; without 41085 itself that is 37539, so 41085 is deficient (37539 is less than 41085). Euler's totient φ(41085) = 19680 numbers up to 41085 share no factor with it.

  4. 4

    The digits of 41085 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.

LaTeX source of the formulas on this page
\[ 41085 = 3^{2} \times 5 \times 11 \times 83 \]

41085 at a glance

PropertyValue
Typecomposite
Number of divisors24
Sum of divisors78624
Euler totient φ(n)19680
Square1687977225
Cube69350544289125
Square root202.694351 (= 3√4565)
Digit sum / digital root18 / 9
Collatz steps to 162
Scientific notation4.1085 × 10410^{4}

41085 in other forms

FormValue
In wordsforty-one thousand and eighty-five
Binary (base 2)1010000001111101
Octal (base 8)120175
Hexadecimal (base 16)A07D
Base 32002100200
As time41085 seconds = 11 h 24 min 45 s

Is 41085 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 (41085 ÷ 3 = 13695)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 (41085 ÷ 5 = 8217)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 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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (41085 ÷ 9 = 4565)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 (41085 ÷ 11 = 3735)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 41085 a prime number?

No. 41085 = 323^{2} × 5 × 11 × 83, so it is divisible by 3.

What are the factors of 41085?

1, 3, 5, 9, 11, 15, 33, 45, 55, 83, 99, 165, 249, 415, 495, 747, 913, 1245, 2739, 3735, 4565, 8217, 13695, 41085.

What is 41085 in binary?

1010000001111101 (hexadecimal A07D, octal 120175).

What is the square root of 41085?

About 202.6944, exactly 3√4565.

Is 41085 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 41085?

It is a composite number with 24 divisors.

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    41085: is it prime? Factors, square root, binary, Roman numeral | WordGPT