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The number 43493

43493 is a composite number with 8 divisors. Its prime factorisation is 23 × 31 × 61. Divisors (8): 1, 23, 31, 61, 713, 1403, 1891, 43493.

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How to work it out

  1. 1

    What is special about 43493: a Harshad number: divisible by its digit sum 23.

  2. 2

    43493 is composite. Its prime factorisation is

    43493=23×31×6143493 = 23 \times 31 \times 61
  3. 3

    The divisors add up to 47616; without 43493 itself that is 4123, so 43493 is deficient (4123 is less than 43493). Euler's totient φ(43493) = 39600 numbers up to 43493 share no factor with it.

  4. 4

    The digits of 43493 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 132 steps to reach 1.

LaTeX source of the formulas on this page
\[ 43493 = 23 \times 31 \times 61 \]

43493 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors47616
Euler totient φ(n)39600
Square1891641049
Cube82273144144157
Square root208.549754
Digit sum / digital root23 / 5
Collatz steps to 1132
Scientific notation4.3493 × 10410^{4}

43493 in other forms

FormValue
In wordsforty-three thousand four hundred and ninety-three
Binary (base 2)1010100111100101
Octal (base 8)124745
Hexadecimal (base 16)A9E5
Base 32012122212
As time43493 seconds = 12 h 4 min 53 s

Is 43493 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 3)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 5)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 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 10)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 43493 a prime number?

No. 43493 = 23 × 31 × 61, so it is divisible by 23.

What are the factors of 43493?

1, 23, 31, 61, 713, 1403, 1891, 43493.

What is 43493 in binary?

1010100111100101 (hexadecimal A9E5, octal 124745).

What is the square root of 43493?

About 208.5498.

Is 43493 divisible by 3?

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

What is special about the number 43493?

43493 is a Harshad number: divisible by its digit sum 23.

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    43493: is it prime? Factors, square root, binary, Roman numeral | WordGPT