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The number 54329

54329 is a composite number with 6 divisors. Its prime factorisation is 11211^{2} Ɨ 449. Divisors (6): 1, 11, 121, 449, 4939, 54329.

Number

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How to work it out

  1. 1

    54329 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

    54329 is composite. Its prime factorisation is

    54329=112Ɨ44954329 = 11^{2} \times 449
  3. 3

    The divisors add up to 59850; without 54329 itself that is 5521, so 54329 is deficient (5521 is less than 54329). Euler's totient φ(54329) = 49280 numbers up to 54329 share no factor with it.

  4. 4

    The digits of 54329 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.

LaTeX source of the formulas on this page
\[ 54329 = 11^{2} \times 449 \]

54329 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors59850
Euler totient φ(n)49280
Square2951640241
Cube160359662653289
Square root233.085821 (= 11√449)
Digit sum / digital root23 / 5
Collatz steps to 139
Scientific notation5.4329 Ɨ 10410^{4}

54329 in other forms

FormValue
In wordsfifty-four thousand three hundred and twenty-nine
Binary (base 2)1101010000111001
Octal (base 8)152071
Hexadecimal (base 16)D439
Base 32202112012
As time54329 seconds = 15 h 5 min 29 s

Is 54329 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).
3No (remainder 2)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 5)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.
9No (remainder 5)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.
11Yes (54329 Ć· 11 = 4939)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 54329 a prime number?

No. 54329 = 11211^{2} Ɨ 449, so it is divisible by 11.

What are the factors of 54329?

1, 11, 121, 449, 4939, 54329.

What is 54329 in binary?

1101010000111001 (hexadecimal D439, octal 152071).

What is the square root of 54329?

About 233.0858, exactly 11√449.

Is 54329 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 54329?

It is a composite number with 6 divisors.

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    54329: is it prime? Factors, square root, binary, Roman numeral | WordGPT