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The number 41550

41550 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × 525^{2} × 277. Divisors (24): 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 277, 554, 831, 1385 … 41550.

Number

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How to work it out

  1. 1

    What is special about 41550: a Harshad number: divisible by its digit sum 15.

  2. 2

    41550 is composite. Its prime factorisation is

    41550=2×3×52×27741550 = 2 \times 3 \times 5^{2} \times 277
  3. 3

    The divisors add up to 103416; without 41550 itself that is 61866, so 41550 is abundant (61866 is more than 41550). Euler's totient φ(41550) = 11040 numbers up to 41550 share no factor with it.

  4. 4

    The digits of 41550 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.

LaTeX source of the formulas on this page
\[ 41550 = 2 \times 3 \times 5^{2} \times 277 \]

41550 at a glance

PropertyValue
Typecomposite
Number of divisors24
Sum of divisors103416
Euler totient φ(n)11040
Square1726402500
Cube71732023875000
Square root203.838171 (= 5√1662)
Digit sum / digital root15 / 6
Collatz steps to 175
Scientific notation4.155 × 10410^{4}

41550 in other forms

FormValue
In wordsforty-one thousand five hundred and fifty
Binary (base 2)1010001001001110
Octal (base 8)121116
Hexadecimal (base 16)A24E
Base 32002222220
As time41550 seconds = 11 h 32 min 30 s

Is 41550 divisible by 2 to 12?

DivisorAnswerRule
2Yes (41550 ÷ 2 = 20775)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (41550 ÷ 3 = 13850)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 (41550 ÷ 5 = 8310)A number is divisible by 5 if the last digit is 0 or 5.
6Yes (41550 ÷ 6 = 6925)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 5)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.
9No (remainder 6)A number is divisible by 9 if the digits add up to a multiple of 9.
10Yes (41550 ÷ 10 = 4155)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)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 41550 a prime number?

No. 41550 = 2 × 3 × 525^{2} × 277, so it is divisible by 2.

What are the factors of 41550?

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 277, 554, 831, 1385, 1662, 2770, 4155, 6925, 8310, 13850, 20775, 41550.

What is 41550 in binary?

1010001001001110 (hexadecimal A24E, octal 121116).

What is the square root of 41550?

About 203.8382, exactly 5√1662.

Is 41550 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 41550?

41550 is a Harshad number: divisible by its digit sum 15.

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    41550: is it prime? Factors, square root, binary, Roman numeral | WordGPT