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The number 41331

41331 is a composite number with 8 divisors. Its prime factorisation is 3 × 23 × 599. Divisors (8): 1, 3, 23, 69, 599, 1797, 13777, 41331.

Number

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How to work it out

  1. 1

    41331 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

    41331 is composite. Its prime factorisation is

    41331=3×23×59941331 = 3 \times 23 \times 599
  3. 3

    The divisors add up to 57600; without 41331 itself that is 16269, so 41331 is deficient (16269 is less than 41331). Euler's totient φ(41331) = 26312 numbers up to 41331 share no factor with it.

  4. 4

    The digits of 41331 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.

LaTeX source of the formulas on this page
\[ 41331 = 3 \times 23 \times 599 \]

41331 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors57600
Euler totient φ(n)26312
Square1708251561
Cube70603745267691
Square root203.300271
Digit sum / digital root12 / 3
Collatz steps to 1181
Scientific notation4.1331 × 10410^{4}

41331 in other forms

FormValue
In wordsforty-one thousand three hundred and thirty-one
Binary (base 2)1010000101110011
Octal (base 8)120563
Hexadecimal (base 16)A173
Base 32002200210
As time41331 seconds = 11 h 28 min 51 s

Is 41331 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 (41331 ÷ 3 = 13777)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 1)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 3)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 4)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 41331 a prime number?

No. 41331 = 3 × 23 × 599, so it is divisible by 3.

What are the factors of 41331?

1, 3, 23, 69, 599, 1797, 13777, 41331.

What is 41331 in binary?

1010000101110011 (hexadecimal A173, octal 120563).

What is the square root of 41331?

About 203.3003.

Is 41331 divisible by 3?

Yes. Its digits add up to 12, a multiple of 3.

What is special about the number 41331?

It is a composite number with 8 divisors.

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    41331: is it prime? Factors, square root, binary, Roman numeral | WordGPT