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The number 36423

36423 is a composite number with 16 divisors. Its prime factorisation is 333^{3} × 19 × 71. Divisors (16): 1, 3, 9, 19, 27, 57, 71, 171, 213, 513, 639, 1349, 1917, 4047, 12141, 36423.

Number

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How to work it out

  1. 1

    36423 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

    36423 is composite. Its prime factorisation is

    36423=33×19×7136423 = 3^{3} \times 19 \times 71
  3. 3

    The divisors add up to 57600; without 36423 itself that is 21177, so 36423 is deficient (21177 is less than 36423). Euler's totient φ(36423) = 22680 numbers up to 36423 share no factor with it.

  4. 4

    The digits of 36423 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 186 steps to reach 1.

LaTeX source of the formulas on this page
\[ 36423 = 3^{3} \times 19 \times 71 \]

36423 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors57600
Euler totient φ(n)22680
Square1326634929
Cube48320024018967
Square root190.848107 (= 3√4047)
Digit sum / digital root18 / 9
Collatz steps to 1186
Scientific notation3.6423 × 10410^{4}

36423 in other forms

FormValue
In wordsthirty-six thousand four hundred and twenty-three
Binary (base 2)1000111001000111
Octal (base 8)107107
Hexadecimal (base 16)8E47
Base 31211222000
As time36423 seconds = 10 h 7 min 3 s

Is 36423 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 (36423 ÷ 3 = 12141)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 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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (36423 ÷ 9 = 4047)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 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 36423 a prime number?

No. 36423 = 333^{3} × 19 × 71, so it is divisible by 3.

What are the factors of 36423?

1, 3, 9, 19, 27, 57, 71, 171, 213, 513, 639, 1349, 1917, 4047, 12141, 36423.

What is 36423 in binary?

1000111001000111 (hexadecimal 8E47, octal 107107).

What is the square root of 36423?

About 190.8481, exactly 3√4047.

Is 36423 divisible by 3?

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

What is special about the number 36423?

It is a composite number with 16 divisors.

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    36423: is it prime? Factors, square root, binary, Roman numeral | WordGPT