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The number 43363

43363 is a composite number with 4 divisors. Its prime factorisation is 103 × 421. Divisors (4): 1, 103, 421, 43363.

Number

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How to work it out

  1. 1

    What is special about 43363: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 103 × 421, the product of two primes.

  2. 2

    43363 is composite. Its prime factorisation is

    43363=103×42143363 = 103 \times 421
  3. 3

    The divisors add up to 43888; without 43363 itself that is 525, so 43363 is deficient (525 is less than 43363). Euler's totient φ(43363) = 42840 numbers up to 43363 share no factor with it.

  4. 4

    The digits of 43363 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.

LaTeX source of the formulas on this page
\[ 43363 = 103 \times 421 \]

43363 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors43888
Euler totient φ(n)42840
Square1880349769
Cube81537607033147
Square root208.237845
Digit sum / digital root19 / 1
Collatz steps to 1132
Scientific notation4.3363 × 10410^{4}

43363 in other forms

FormValue
In wordsforty-three thousand three hundred and sixty-three
Binary (base 2)1010100101100011
Octal (base 8)124543
Hexadecimal (base 16)A963
Base 32012111001
As time43363 seconds = 12 h 2 min 43 s

Is 43363 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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)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 1)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 43363 a prime number?

No. 43363 = 103 × 421, so it is divisible by 103.

What are the factors of 43363?

1, 103, 421, 43363.

What is 43363 in binary?

1010100101100011 (hexadecimal A963, octal 124543).

What is the square root of 43363?

About 208.2378.

Is 43363 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 43363?

43363 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 103 × 421, the product of two primes.

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