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The number 55543

55543 is a composite number with 4 divisors. Its prime factorisation is 67 × 829. Divisors (4): 1, 67, 829, 55543.

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How to work it out

  1. 1

    What is special about 55543: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 67 × 829, the product of two primes.

  2. 2

    55543 is composite. Its prime factorisation is

    55543=67×82955543 = 67 \times 829
  3. 3

    The divisors add up to 56440; without 55543 itself that is 897, so 55543 is deficient (897 is less than 55543). Euler's totient φ(55543) = 54648 numbers up to 55543 share no factor with it.

  4. 4

    The digits of 55543 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.

LaTeX source of the formulas on this page
\[ 55543 = 67 \times 829 \]

55543 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors56440
Euler totient φ(n)54648
Square3085024849
Cube171351535188007
Square root235.675625
Digit sum / digital root22 / 4
Collatz steps to 1153
Scientific notation5.5543 × 10410^{4}

55543 in other forms

FormValue
In wordsfifty-five thousand five hundred and forty-three
Binary (base 2)1101100011110111
Octal (base 8)154367
Hexadecimal (base 16)D8F7
Base 32211012011
As time55543 seconds = 15 h 25 min 43 s

Is 55543 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 1)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 1)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.
9No (remainder 4)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 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 55543 a prime number?

No. 55543 = 67 × 829, so it is divisible by 67.

What are the factors of 55543?

1, 67, 829, 55543.

What is 55543 in binary?

1101100011110111 (hexadecimal D8F7, octal 154367).

What is the square root of 55543?

About 235.6756.

Is 55543 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 55543?

55543 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 67 × 829, the product of two primes.

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