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The number 20041

20041 is a composite number with 6 divisors. Its prime factorisation is 727^{2} Ɨ 409. Divisors (6): 1, 7, 49, 409, 2863, 20041.

Number

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How to work it out

  1. 1

    What is special about 20041: a Harshad number: divisible by its digit sum 7.

  2. 2

    20041 is composite. Its prime factorisation is

    20041=72Ɨ40920041 = 7^{2} \times 409
  3. 3

    The divisors add up to 23370; without 20041 itself that is 3329, so 20041 is deficient (3329 is less than 20041). Euler's totient φ(20041) = 17136 numbers up to 20041 share no factor with it.

  4. 4

    The digits of 20041 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 211 steps to reach 1.

LaTeX source of the formulas on this page
\[ 20041 = 7^{2} \times 409 \]

20041 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors23370
Euler totient φ(n)17136
Square401641681
Cube8049300928921
Square root141.566239 (= 7√409)
Digit sum / digital root7 / 7
Collatz steps to 1211
Scientific notation2.0041 Ɨ 10410^{4}

20041 in other forms

FormValue
In wordstwenty thousand and forty-one
Binary (base 2)100111001001001
Octal (base 8)47111
Hexadecimal (base 16)4E49
Base 31000111021
As time20041 seconds = 5 h 34 min 1 s

Is 20041 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).
3No (remainder 1)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 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (20041 Ć· 7 = 2863)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.
9No (remainder 7)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 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 20041 a prime number?

No. 20041 = 727^{2} Ɨ 409, so it is divisible by 7.

What are the factors of 20041?

1, 7, 49, 409, 2863, 20041.

What is 20041 in binary?

100111001001001 (hexadecimal 4E49, octal 47111).

What is the square root of 20041?

About 141.5662, exactly 7√409.

Is 20041 divisible by 3?

No. Its digits add up to 7, which is not a multiple of 3.

What is special about the number 20041?

20041 is a Harshad number: divisible by its digit sum 7.

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    20041: is it prime? Factors, square root, binary, Roman numeral | WordGPT