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The number 44118

44118 is a composite number with 32 divisors. Its prime factorisation is 2 × 333^{3} × 19 × 43. Divisors (32): 1, 2, 3, 6, 9, 18, 19, 27, 38, 43, 54, 57, 86, 114, 129, 171 … 44118.

Number

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How to work it out

  1. 1

    What is special about 44118: a Harshad number: divisible by its digit sum 18.

  2. 2

    44118 is composite. Its prime factorisation is

    44118=2×33×19×4344118 = 2 \times 3^{3} \times 19 \times 43
  3. 3

    The divisors add up to 105600; without 44118 itself that is 61482, so 44118 is abundant (61482 is more than 44118). Euler's totient φ(44118) = 13608 numbers up to 44118 share no factor with it.

  4. 4

    The digits of 44118 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 163 steps to reach 1.

LaTeX source of the formulas on this page
\[ 44118 = 2 \times 3^{3} \times 19 \times 43 \]

44118 at a glance

PropertyValue
Typecomposite
Number of divisors32
Sum of divisors105600
Euler totient φ(n)13608
Square1946397924
Cube85871183611032
Square root210.042853 (= 3√4902)
Digit sum / digital root18 / 9
Collatz steps to 1163
Scientific notation4.4118 × 10410^{4}

44118 in other forms

FormValue
In wordsforty-four thousand one hundred and eighteen
Binary (base 2)1010110001010110
Octal (base 8)126126
Hexadecimal (base 16)AC56
Base 32020112000
As time44118 seconds = 12 h 15 min 18 s

Is 44118 divisible by 2 to 12?

DivisorAnswerRule
2Yes (44118 ÷ 2 = 22059)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (44118 ÷ 3 = 14706)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 3)A number is divisible by 5 if the last digit is 0 or 5.
6Yes (44118 ÷ 6 = 7353)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 (44118 ÷ 9 = 4902)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)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 44118 a prime number?

No. 44118 = 2 × 333^{3} × 19 × 43, so it is divisible by 2.

What are the factors of 44118?

1, 2, 3, 6, 9, 18, 19, 27, 38, 43, 54, 57, 86, 114, 129, 171, 258, 342, 387, 513, 774, 817, 1026, 1161, 1634, 2322, 2451, 4902, 7353, 14706, 22059, 44118.

What is 44118 in binary?

1010110001010110 (hexadecimal AC56, octal 126126).

What is the square root of 44118?

About 210.0429, exactly 3√4902.

Is 44118 divisible by 3?

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

What is special about the number 44118?

44118 is a Harshad number: divisible by its digit sum 18.

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