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The number 44739

44739 is a composite number with 8 divisors. Its prime factorisation is 333^{3} × 1657. Divisors (8): 1, 3, 9, 27, 1657, 4971, 14913, 44739.

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How to work it out

  1. 1

    What is special about 44739: a Harshad number: divisible by its digit sum 27.

  2. 2

    44739 is composite. Its prime factorisation is

    44739=33×165744739 = 3^{3} \times 1657
  3. 3

    The divisors add up to 66320; without 44739 itself that is 21581, so 44739 is deficient (21581 is less than 44739). Euler's totient φ(44739) = 29808 numbers up to 44739 share no factor with it.

  4. 4

    The digits of 44739 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 269 steps to reach 1.

LaTeX source of the formulas on this page
\[ 44739 = 3^{3} \times 1657 \]

44739 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors66320
Euler totient φ(n)29808
Square2001578121
Cube89548603555419
Square root211.515957 (= 3√4971)
Digit sum / digital root27 / 9
Collatz steps to 1269
Scientific notation4.4739 × 10410^{4}

44739 in other forms

FormValue
In wordsforty-four thousand seven hundred and thirty-nine
Binary (base 2)1010111011000011
Octal (base 8)127303
Hexadecimal (base 16)AEC3
Base 32021101000
As time44739 seconds = 12 h 25 min 39 s

Is 44739 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (44739 ÷ 3 = 14913)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)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.
6No (remainder 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 2)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (44739 ÷ 9 = 4971)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 44739 a prime number?

No. 44739 = 333^{3} × 1657, so it is divisible by 3.

What are the factors of 44739?

1, 3, 9, 27, 1657, 4971, 14913, 44739.

What is 44739 in binary?

1010111011000011 (hexadecimal AEC3, octal 127303).

What is the square root of 44739?

About 211.5160, exactly 3√4971.

Is 44739 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 44739?

44739 is a Harshad number: divisible by its digit sum 27.

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