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The number 41836

41836 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 10459. Divisors (6): 1, 2, 4, 10459, 20918, 41836.

Number

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How to work it out

  1. 1

    41836 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

    41836 is composite. Its prime factorisation is

    41836=22×1045941836 = 2^{2} \times 10459
  3. 3

    The divisors add up to 73220; without 41836 itself that is 31384, so 41836 is deficient (31384 is less than 41836). Euler's totient φ(41836) = 20916 numbers up to 41836 share no factor with it.

  4. 4

    The digits of 41836 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 150 steps to reach 1.

LaTeX source of the formulas on this page
\[ 41836 = 2^{2} \times 10459 \]

41836 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors73220
Euler totient φ(n)20916
Square1750250896
Cube73223496485056
Square root204.538505 (= 2√10459)
Digit sum / digital root22 / 4
Collatz steps to 1150
Scientific notation4.1836 × 10410^{4}

41836 in other forms

FormValue
In wordsforty-one thousand eight hundred and thirty-six
Binary (base 2)1010001101101100
Octal (base 8)121554
Hexadecimal (base 16)A36C
Base 32010101111
As time41836 seconds = 11 h 37 min 16 s

Is 41836 divisible by 2 to 12?

DivisorAnswerRule
2Yes (41836 ÷ 2 = 20918)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.
4Yes (41836 ÷ 4 = 10459)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)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 4)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 6)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 41836 a prime number?

No. 41836 = 222^{2} × 10459, so it is divisible by 2.

What are the factors of 41836?

1, 2, 4, 10459, 20918, 41836.

What is 41836 in binary?

1010001101101100 (hexadecimal A36C, octal 121554).

What is the square root of 41836?

About 204.5385, exactly 2√10459.

Is 41836 divisible by 3?

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

What is special about the number 41836?

It is a composite number with 6 divisors.

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