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The number 10443

10443 is a composite number with 6 divisors. Its prime factorisation is 3 Ɨ 59259^{2}. Divisors (6): 1, 3, 59, 177, 3481, 10443.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    10443 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

    10443 is composite. Its prime factorisation is

    10443=3Ɨ59210443 = 3 \times 59^{2}
  3. 3

    The divisors add up to 14164; without 10443 itself that is 3721, so 10443 is deficient (3721 is less than 10443). Euler's totient φ(10443) = 6844 numbers up to 10443 share no factor with it.

  4. 4

    The digits of 10443 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.

LaTeX source of the formulas on this page
\[ 10443 = 3 \times 59^{2} \]

10443 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors14164
Euler totient φ(n)6844
Square109056249
Cube1138874408307
Square root102.190998 (= 59√3)
Digit sum / digital root12 / 3
Collatz steps to 160
Scientific notation1.0443 Ɨ 10410^{4}

10443 in other forms

FormValue
In wordsten thousand four hundred and forty-three
Binary (base 2)10100011001011
Octal (base 8)24313
Hexadecimal (base 16)28CB
Base 3112022210
As time10443 seconds = 2 h 54 min 3 s

Is 10443 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 (10443 Ć· 3 = 3481)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 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 6)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 3)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 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 10443 a prime number?

No. 10443 = 3 Ɨ 59259^{2}, so it is divisible by 3.

What are the factors of 10443?

1, 3, 59, 177, 3481, 10443.

What is 10443 in binary?

10100011001011 (hexadecimal 28CB, octal 24313).

What is the square root of 10443?

About 102.1910, exactly 59√3.

Is 10443 divisible by 3?

Yes. Its digits add up to 12, a multiple of 3.

What is special about the number 10443?

It is a composite number with 6 divisors.

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    10443: is it prime? Factors, square root, binary, Roman numeral | WordGPT