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The number 41463

41463 is a composite number with 12 divisors. Its prime factorisation is 323^{2} × 17 × 271. Divisors (12): 1, 3, 9, 17, 51, 153, 271, 813, 2439, 4607, 13821, 41463.

Number

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How to work it out

  1. 1

    41463 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

    41463 is composite. Its prime factorisation is

    41463=32×17×27141463 = 3^{2} \times 17 \times 271
  3. 3

    The divisors add up to 63648; without 41463 itself that is 22185, so 41463 is deficient (22185 is less than 41463). Euler's totient φ(41463) = 25920 numbers up to 41463 share no factor with it.

  4. 4

    The digits of 41463 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 163 steps to reach 1.

LaTeX source of the formulas on this page
\[ 41463 = 3^{2} \times 17 \times 271 \]

41463 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors63648
Euler totient φ(n)25920
Square1719180369
Cube71282375639847
Square root203.624655 (= 3√4607)
Digit sum / digital root18 / 9
Collatz steps to 1163
Scientific notation4.1463 × 10410^{4}

41463 in other forms

FormValue
In wordsforty-one thousand four hundred and sixty-three
Binary (base 2)1010000111110111
Octal (base 8)120767
Hexadecimal (base 16)A1F7
Base 32002212200
As time41463 seconds = 11 h 31 min 3 s

Is 41463 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 (41463 ÷ 3 = 13821)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 3)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (41463 ÷ 9 = 4607)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)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 41463 a prime number?

No. 41463 = 323^{2} × 17 × 271, so it is divisible by 3.

What are the factors of 41463?

1, 3, 9, 17, 51, 153, 271, 813, 2439, 4607, 13821, 41463.

What is 41463 in binary?

1010000111110111 (hexadecimal A1F7, octal 120767).

What is the square root of 41463?

About 203.6247, exactly 3√4607.

Is 41463 divisible by 3?

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

What is special about the number 41463?

It is a composite number with 12 divisors.

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    41463: is it prime? Factors, square root, binary, Roman numeral | WordGPT