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The number 55431

55431 is a composite number with 8 divisors. Its prime factorisation is 333^{3} × 2053. Divisors (8): 1, 3, 9, 27, 2053, 6159, 18477, 55431.

Number

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How to work it out

  1. 1

    55431 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

    55431 is composite. Its prime factorisation is

    55431=33×205355431 = 3^{3} \times 2053
  3. 3

    The divisors add up to 82160; without 55431 itself that is 26729, so 55431 is deficient (26729 is less than 55431). Euler's totient φ(55431) = 36936 numbers up to 55431 share no factor with it.

  4. 4

    The digits of 55431 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 153 steps to reach 1.

LaTeX source of the formulas on this page
\[ 55431 = 3^{3} \times 2053 \]

55431 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors82160
Euler totient φ(n)36936
Square3072595761
Cube170317055627991
Square root235.437890 (= 3√6159)
Digit sum / digital root18 / 9
Collatz steps to 1153
Scientific notation5.5431 × 10410^{4}

55431 in other forms

FormValue
In wordsfifty-five thousand four hundred and thirty-one
Binary (base 2)1101100010000111
Octal (base 8)154207
Hexadecimal (base 16)D887
Base 32211001000
As time55431 seconds = 15 h 23 min 51 s

Is 55431 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 (55431 ÷ 3 = 18477)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 1)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 (55431 ÷ 9 = 6159)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)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 55431 a prime number?

No. 55431 = 333^{3} × 2053, so it is divisible by 3.

What are the factors of 55431?

1, 3, 9, 27, 2053, 6159, 18477, 55431.

What is 55431 in binary?

1101100010000111 (hexadecimal D887, octal 154207).

What is the square root of 55431?

About 235.4379, exactly 3√6159.

Is 55431 divisible by 3?

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

What is special about the number 55431?

It is a composite number with 8 divisors.

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    55431: is it prime? Factors, square root, binary, Roman numeral | WordGPT