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The number 44316

44316 is a composite number with 18 divisors. Its prime factorisation is 222^{2} × 323^{2} × 1231. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1231, 2462, 3693, 4924, 7386, 11079, 14772 … 44316.

Number

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How to work it out

  1. 1

    What is special about 44316: a Harshad number: divisible by its digit sum 18.

  2. 2

    44316 is composite. Its prime factorisation is

    44316=22×32×123144316 = 2^{2} \times 3^{2} \times 1231
  3. 3

    The divisors add up to 112112; without 44316 itself that is 67796, so 44316 is abundant (67796 is more than 44316). Euler's totient φ(44316) = 14760 numbers up to 44316 share no factor with it.

  4. 4

    The digits of 44316 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 44 steps to reach 1.

LaTeX source of the formulas on this page
\[ 44316 = 2^{2} \times 3^{2} \times 1231 \]

44316 at a glance

PropertyValue
Typecomposite
Number of divisors18
Sum of divisors112112
Euler totient φ(n)14760
Square1963907856
Cube87032540546496
Square root210.513658 (= 6√1231)
Digit sum / digital root18 / 9
Collatz steps to 144
Scientific notation4.4316 × 10410^{4}

44316 in other forms

FormValue
In wordsforty-four thousand three hundred and sixteen
Binary (base 2)1010110100011100
Octal (base 8)126434
Hexadecimal (base 16)AD1C
Base 32020210100
As time44316 seconds = 12 h 18 min 36 s

Is 44316 divisible by 2 to 12?

DivisorAnswerRule
2Yes (44316 ÷ 2 = 22158)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (44316 ÷ 3 = 14772)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (44316 ÷ 4 = 11079)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.
6Yes (44316 ÷ 6 = 7386)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 6)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 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (44316 ÷ 9 = 4924)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 6)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.
12Yes (44316 ÷ 12 = 3693)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 44316 a prime number?

No. 44316 = 222^{2} × 323^{2} × 1231, so it is divisible by 2.

What are the factors of 44316?

1, 2, 3, 4, 6, 9, 12, 18, 36, 1231, 2462, 3693, 4924, 7386, 11079, 14772, 22158, 44316.

What is 44316 in binary?

1010110100011100 (hexadecimal AD1C, octal 126434).

What is the square root of 44316?

About 210.5137, exactly 6√1231.

Is 44316 divisible by 3?

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

What is special about the number 44316?

44316 is a Harshad number: divisible by its digit sum 18.

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