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The number 41050

41050 is a composite number with 12 divisors. Its prime factorisation is 2 × 525^{2} × 821. Divisors (12): 1, 2, 5, 10, 25, 50, 821, 1642, 4105, 8210, 20525, 41050.

Number

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How to work it out

  1. 1

    What is special about 41050: a Harshad number: divisible by its digit sum 10.

  2. 2

    41050 is composite. Its prime factorisation is

    41050=2×52×82141050 = 2 \times 5^{2} \times 821
  3. 3

    The divisors add up to 76446; without 41050 itself that is 35396, so 41050 is deficient (35396 is less than 41050). Euler's totient φ(41050) = 16400 numbers up to 41050 share no factor with it.

  4. 4

    The digits of 41050 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.

LaTeX source of the formulas on this page
\[ 41050 = 2 \times 5^{2} \times 821 \]

41050 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors76446
Euler totient φ(n)16400
Square1685102500
Cube69173457625000
Square root202.607996 (= 5√1642)
Digit sum / digital root10 / 1
Collatz steps to 157
Scientific notation4.105 × 10410^{4}

41050 in other forms

FormValue
In wordsforty-one thousand and fifty
Binary (base 2)1010000001011010
Octal (base 8)120132
Hexadecimal (base 16)A05A
Base 32002022101
As time41050 seconds = 11 h 24 min 10 s

Is 41050 divisible by 2 to 12?

DivisorAnswerRule
2Yes (41050 ÷ 2 = 20525)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 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (41050 ÷ 5 = 8210)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)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 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10Yes (41050 ÷ 10 = 4105)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 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 41050 a prime number?

No. 41050 = 2 × 525^{2} × 821, so it is divisible by 2.

What are the factors of 41050?

1, 2, 5, 10, 25, 50, 821, 1642, 4105, 8210, 20525, 41050.

What is 41050 in binary?

1010000001011010 (hexadecimal A05A, octal 120132).

What is the square root of 41050?

About 202.6080, exactly 5√1642.

Is 41050 divisible by 3?

No. Its digits add up to 10, which is not a multiple of 3.

What is special about the number 41050?

41050 is a Harshad number: divisible by its digit sum 10.

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