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The number 54423

54423 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 6047. Divisors (6): 1, 3, 9, 6047, 18141, 54423.

Number

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How to work it out

  1. 1

    What is special about 54423: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    54423 is composite. Its prime factorisation is

    54423=32×604754423 = 3^{2} \times 6047
  3. 3

    The divisors add up to 78624; without 54423 itself that is 24201, so 54423 is deficient (24201 is less than 54423). Euler's totient φ(54423) = 36276 numbers up to 54423 share no factor with it.

  4. 4

    The digits of 54423 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 91 steps to reach 1.

LaTeX source of the formulas on this page
\[ 54423 = 3^{2} \times 6047 \]

54423 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors78624
Euler totient φ(n)36276
Square2961862929
Cube161193466184967
Square root233.287376 (= 3√6047)
Digit sum / digital root18 / 9
Collatz steps to 191
Scientific notation5.4423 × 10410^{4}

54423 in other forms

FormValue
In wordsfifty-four thousand four hundred and twenty-three
Binary (base 2)1101010010010111
Octal (base 8)152227
Hexadecimal (base 16)D497
Base 32202122200
As time54423 seconds = 15 h 7 min 3 s

Is 54423 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 (54423 ÷ 3 = 18141)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 3)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (54423 ÷ 9 = 6047)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)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 54423 a prime number?

No. 54423 = 323^{2} × 6047, so it is divisible by 3.

What are the factors of 54423?

1, 3, 9, 6047, 18141, 54423.

What is 54423 in binary?

1101010010010111 (hexadecimal D497, octal 152227).

What is the square root of 54423?

About 233.2874, exactly 3√6047.

Is 54423 divisible by 3?

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

What is special about the number 54423?

54423 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    54423: is it prime? Factors, square root, binary, Roman numeral | WordGPT