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The number 41481

41481 is a composite number with 12 divisors. Its prime factorisation is 323^{2} × 11 × 419. Divisors (12): 1, 3, 9, 11, 33, 99, 419, 1257, 3771, 4609, 13827, 41481.

Number

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How to work it out

  1. 1

    41481 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

    41481 is composite. Its prime factorisation is

    41481=32×11×41941481 = 3^{2} \times 11 \times 419
  3. 3

    The divisors add up to 65520; without 41481 itself that is 24039, so 41481 is deficient (24039 is less than 41481). Euler's totient φ(41481) = 25080 numbers up to 41481 share no factor with it.

  4. 4

    The digits of 41481 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 88 steps to reach 1.

LaTeX source of the formulas on this page
\[ 41481 = 3^{2} \times 11 \times 419 \]

41481 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors65520
Euler totient φ(n)25080
Square1720673361
Cube71375251687641
Square root203.668849 (= 3√4609)
Digit sum / digital root18 / 9
Collatz steps to 188
Scientific notation4.1481 × 10410^{4}

41481 in other forms

FormValue
In wordsforty-one thousand four hundred and eighty-one
Binary (base 2)1010001000001001
Octal (base 8)121011
Hexadecimal (base 16)A209
Base 32002220100
As time41481 seconds = 11 h 31 min 21 s

Is 41481 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 (41481 ÷ 3 = 13827)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.
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 6)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.
9Yes (41481 ÷ 9 = 4609)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.
11Yes (41481 ÷ 11 = 3771)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 41481 a prime number?

No. 41481 = 323^{2} × 11 × 419, so it is divisible by 3.

What are the factors of 41481?

1, 3, 9, 11, 33, 99, 419, 1257, 3771, 4609, 13827, 41481.

What is 41481 in binary?

1010001000001001 (hexadecimal A209, octal 121011).

What is the square root of 41481?

About 203.6688, exactly 3√4609.

Is 41481 divisible by 3?

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

What is special about the number 41481?

It is a composite number with 12 divisors.

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    41481: is it prime? Factors, square root, binary, Roman numeral | WordGPT