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The number 41391

41391 is a composite number with 20 divisors. Its prime factorisation is 343^{4} × 7 × 73. Divisors (20): 1, 3, 7, 9, 21, 27, 63, 73, 81, 189, 219, 511, 567, 657, 1533, 1971 … 41391.

Number

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How to work it out

  1. 1

    41391 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

    41391 is composite. Its prime factorisation is

    41391=34×7×7341391 = 3^{4} \times 7 \times 73
  3. 3

    The divisors add up to 71632; without 41391 itself that is 30241, so 41391 is deficient (30241 is less than 41391). Euler's totient φ(41391) = 23328 numbers up to 41391 share no factor with it.

  4. 4

    The digits of 41391 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 137 steps to reach 1.

LaTeX source of the formulas on this page
\[ 41391 = 3^{4} \times 7 \times 73 \]

41391 at a glance

PropertyValue
Typecomposite
Number of divisors20
Sum of divisors71632
Euler totient φ(n)23328
Square1713214881
Cube70911677139471
Square root203.447782 (= 9√511)
Digit sum / digital root18 / 9
Collatz steps to 1137
Scientific notation4.1391 × 10410^{4}

41391 in other forms

FormValue
In wordsforty-one thousand three hundred and ninety-one
Binary (base 2)1010000110101111
Octal (base 8)120657
Hexadecimal (base 16)A1AF
Base 32002210000
As time41391 seconds = 11 h 29 min 51 s

Is 41391 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 (41391 ÷ 3 = 13797)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.
7Yes (41391 ÷ 7 = 5913)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 (41391 ÷ 9 = 4599)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 9)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 41391 a prime number?

No. 41391 = 343^{4} × 7 × 73, so it is divisible by 3.

What are the factors of 41391?

1, 3, 7, 9, 21, 27, 63, 73, 81, 189, 219, 511, 567, 657, 1533, 1971, 4599, 5913, 13797, 41391.

What is 41391 in binary?

1010000110101111 (hexadecimal A1AF, octal 120657).

What is the square root of 41391?

About 203.4478, exactly 9√511.

Is 41391 divisible by 3?

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

What is special about the number 41391?

It is a composite number with 20 divisors.

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    41391: is it prime? Factors, square root, binary, Roman numeral | WordGPT