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The number 41679

41679 is a composite number with 12 divisors. Its prime factorisation is 323^{2} × 11 × 421. Divisors (12): 1, 3, 9, 11, 33, 99, 421, 1263, 3789, 4631, 13893, 41679.

Number

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How to work it out

  1. 1

    41679 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

    41679 is composite. Its prime factorisation is

    41679=32×11×42141679 = 3^{2} \times 11 \times 421
  3. 3

    The divisors add up to 65832; without 41679 itself that is 24153, so 41679 is deficient (24153 is less than 41679). Euler's totient φ(41679) = 25200 numbers up to 41679 share no factor with it.

  4. 4

    The digits of 41679 add up to 27, 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
\[ 41679 = 3^{2} \times 11 \times 421 \]

41679 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors65832
Euler totient φ(n)25200
Square1737139041
Cube72402218089839
Square root204.154353 (= 3√4631)
Digit sum / digital root27 / 9
Collatz steps to 1137
Scientific notation4.1679 × 10410^{4}

41679 in other forms

FormValue
In wordsforty-one thousand six hundred and seventy-nine
Binary (base 2)1010001011001111
Octal (base 8)121317
Hexadecimal (base 16)A2CF
Base 32010011200
As time41679 seconds = 11 h 34 min 39 s

Is 41679 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 (41679 ÷ 3 = 13893)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 4)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 1)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 (41679 ÷ 9 = 4631)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11Yes (41679 ÷ 11 = 3789)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 41679 a prime number?

No. 41679 = 323^{2} × 11 × 421, so it is divisible by 3.

What are the factors of 41679?

1, 3, 9, 11, 33, 99, 421, 1263, 3789, 4631, 13893, 41679.

What is 41679 in binary?

1010001011001111 (hexadecimal A2CF, octal 121317).

What is the square root of 41679?

About 204.1544, exactly 3√4631.

Is 41679 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 41679?

It is a composite number with 12 divisors.

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    41679: is it prime? Factors, square root, binary, Roman numeral | WordGPT