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The number 44469

44469 is a binary palindrome (1010110110110101). Its prime factorisation is 363^{6} × 61. Divisors (14): 1, 3, 9, 27, 61, 81, 183, 243, 549, 729, 1647, 4941, 14823, 44469.

Number

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How to work it out

  1. 1

    What is special about 44469: a binary palindrome (1010110110110101); a Harshad number: divisible by its digit sum 27.

  2. 2

    44469 is composite. Its prime factorisation is

    44469=36×6144469 = 3^{6} \times 61
  3. 3

    The divisors add up to 67766; without 44469 itself that is 23297, so 44469 is deficient (23297 is less than 44469). Euler's totient φ(44469) = 29160 numbers up to 44469 share no factor with it.

  4. 4

    The digits of 44469 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 163 steps to reach 1.

LaTeX source of the formulas on this page
\[ 44469 = 3^{6} \times 61 \]

44469 at a glance

PropertyValue
Typecomposite
Number of divisors14
Sum of divisors67766
Euler totient φ(n)29160
Square1977491961
Cube87937090013709
Square root210.876741 (= 27√61)
Digit sum / digital root27 / 9
Collatz steps to 1163
Scientific notation4.4469 × 10410^{4}

44469 in other forms

FormValue
In wordsforty-four thousand four hundred and sixty-nine
Binary (base 2)1010110110110101
Octal (base 8)126665
Hexadecimal (base 16)ADB5
Base 32021000000
As time44469 seconds = 12 h 21 min 9 s

Is 44469 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 (44469 ÷ 3 = 14823)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)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 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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (44469 ÷ 9 = 4941)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 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 44469 a prime number?

No. 44469 = 363^{6} × 61, so it is divisible by 3.

What are the factors of 44469?

1, 3, 9, 27, 61, 81, 183, 243, 549, 729, 1647, 4941, 14823, 44469.

What is 44469 in binary?

1010110110110101 (hexadecimal ADB5, octal 126665).

What is the square root of 44469?

About 210.8767, exactly 27√61.

Is 44469 divisible by 3?

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

What is special about the number 44469?

44469 is a binary palindrome (1010110110110101); a Harshad number: divisible by its digit sum 27.

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