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The number 44472

44472 is a composite number with 32 divisors. Its prime factorisation is 232^{3} × 3 × 17 × 109. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 109, 136, 204 … 44472.

Number

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How to work it out

  1. 1

    44472 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    44472 is composite. Its prime factorisation is

    44472=23×3×17×10944472 = 2^{3} \times 3 \times 17 \times 109
  3. 3

    The divisors add up to 118800; without 44472 itself that is 74328, so 44472 is abundant (74328 is more than 44472). Euler's totient φ(44472) = 13824 numbers up to 44472 share no factor with it.

  4. 4

    The digits of 44472 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.

LaTeX source of the formulas on this page
\[ 44472 = 2^{3} \times 3 \times 17 \times 109 \]

44472 at a glance

PropertyValue
Typecomposite
Number of divisors32
Sum of divisors118800
Euler totient φ(n)13824
Square1977758784
Cube87954888642048
Square root210.883854 (= 2√11118)
Digit sum / digital root21 / 3
Collatz steps to 1163
Scientific notation4.4472 × 10410^{4}

44472 in other forms

FormValue
In wordsforty-four thousand four hundred and seventy-two
Binary (base 2)1010110110111000
Octal (base 8)126670
Hexadecimal (base 16)ADB8
Base 32021000010
As time44472 seconds = 12 h 21 min 12 s

Is 44472 divisible by 2 to 12?

DivisorAnswerRule
2Yes (44472 ÷ 2 = 22236)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (44472 ÷ 3 = 14824)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (44472 ÷ 4 = 11118)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)A number is divisible by 5 if the last digit is 0 or 5.
6Yes (44472 ÷ 6 = 7412)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 1)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8Yes (44472 ÷ 8 = 5559)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 3)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 2)A number is divisible by 10 if the last digit is 0.
11No (remainder 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12Yes (44472 ÷ 12 = 3706)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 44472 a prime number?

No. 44472 = 232^{3} × 3 × 17 × 109, so it is divisible by 2.

What are the factors of 44472?

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 109, 136, 204, 218, 327, 408, 436, 654, 872, 1308, 1853, 2616, 3706, 5559, 7412, 11118, 14824, 22236, 44472.

What is 44472 in binary?

1010110110111000 (hexadecimal ADB8, octal 126670).

What is the square root of 44472?

About 210.8839, exactly 2√11118.

Is 44472 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 44472?

It is a composite number with 32 divisors.

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    44472: is it prime? Factors, square root, binary, Roman numeral | WordGPT