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The number 40329

40329 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 4481. Divisors (6): 1, 3, 9, 4481, 13443, 40329.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    40329 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

    40329 is composite. Its prime factorisation is

    40329=32×448140329 = 3^{2} \times 4481
  3. 3

    The divisors add up to 58266; without 40329 itself that is 17937, so 40329 is deficient (17937 is less than 40329). Euler's totient φ(40329) = 26880 numbers up to 40329 share no factor with it.

  4. 4

    The digits of 40329 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 88 steps to reach 1.

LaTeX source of the formulas on this page
\[ 40329 = 3^{2} \times 4481 \]

40329 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors58266
Euler totient φ(n)26880
Square1626428241
Cube65592224531289
Square root200.820816 (= 3√4481)
Digit sum / digital root18 / 9
Collatz steps to 188
Scientific notation4.0329 × 10410^{4}

40329 in other forms

FormValue
In wordsforty thousand three hundred and twenty-nine
Binary (base 2)1001110110001001
Octal (base 8)116611
Hexadecimal (base 16)9D89
Base 32001022200
As time40329 seconds = 11 h 12 min 9 s

Is 40329 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 (40329 ÷ 3 = 13443)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 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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (40329 ÷ 9 = 4481)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 3)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 40329 a prime number?

No. 40329 = 323^{2} × 4481, so it is divisible by 3.

What are the factors of 40329?

1, 3, 9, 4481, 13443, 40329.

What is 40329 in binary?

1001110110001001 (hexadecimal 9D89, octal 116611).

What is the square root of 40329?

About 200.8208, exactly 3√4481.

Is 40329 divisible by 3?

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

What is special about the number 40329?

It is a composite number with 6 divisors.

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    40329: is it prime? Factors, square root, binary, Roman numeral | WordGPT