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The number 41094

41094 is a composite number with 16 divisors. Its prime factorisation is 2 × 333^{3} × 761. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 761, 1522, 2283, 4566, 6849, 13698, 20547, 41094.

Number

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How to work it out

  1. 1

    What is special about 41094: a Harshad number: divisible by its digit sum 18.

  2. 2

    41094 is composite. Its prime factorisation is

    41094=2×33×76141094 = 2 \times 3^{3} \times 761
  3. 3

    The divisors add up to 91440; without 41094 itself that is 50346, so 41094 is abundant (50346 is more than 41094). Euler's totient φ(41094) = 13680 numbers up to 41094 share no factor with it.

  4. 4

    The digits of 41094 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 150 steps to reach 1.

LaTeX source of the formulas on this page
\[ 41094 = 2 \times 3^{3} \times 761 \]

41094 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors91440
Euler totient φ(n)13680
Square1688716836
Cube69396129658584
Square root202.716551 (= 3√4566)
Digit sum / digital root18 / 9
Collatz steps to 1150
Scientific notation4.1094 × 10410^{4}

41094 in other forms

FormValue
In wordsforty-one thousand and ninety-four
Binary (base 2)1010000010000110
Octal (base 8)120206
Hexadecimal (base 16)A086
Base 32002101000
As time41094 seconds = 11 h 24 min 54 s

Is 41094 divisible by 2 to 12?

DivisorAnswerRule
2Yes (41094 ÷ 2 = 20547)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (41094 ÷ 3 = 13698)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.
5No (remainder 4)A number is divisible by 5 if the last digit is 0 or 5.
6Yes (41094 ÷ 6 = 6849)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)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 6)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (41094 ÷ 9 = 4566)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 4)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 6)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 41094 a prime number?

No. 41094 = 2 × 333^{3} × 761, so it is divisible by 2.

What are the factors of 41094?

1, 2, 3, 6, 9, 18, 27, 54, 761, 1522, 2283, 4566, 6849, 13698, 20547, 41094.

What is 41094 in binary?

1010000010000110 (hexadecimal A086, octal 120206).

What is the square root of 41094?

About 202.7166, exactly 3√4566.

Is 41094 divisible by 3?

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

What is special about the number 41094?

41094 is a Harshad number: divisible by its digit sum 18.

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