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The number 42593

42593 is a composite number with 4 divisors. Its prime factorisation is 191 × 223. Divisors (4): 1, 191, 223, 42593.

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How to work it out

  1. 1

    What is special about 42593: a semiprime: 191 × 223, the product of two primes.

  2. 2

    42593 is composite. Its prime factorisation is

    42593=191×22342593 = 191 \times 223
  3. 3

    The divisors add up to 43008; without 42593 itself that is 415, so 42593 is deficient (415 is less than 42593). Euler's totient φ(42593) = 42180 numbers up to 42593 share no factor with it.

  4. 4

    The digits of 42593 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 194 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42593 = 191 \times 223 \]

42593 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors43008
Euler totient φ(n)42180
Square1814163649
Cube77270672301857
Square root206.380716
Digit sum / digital root23 / 5
Collatz steps to 1194
Scientific notation4.2593 × 10410^{4}

42593 in other forms

FormValue
In wordsforty-two thousand five hundred and ninety-three
Binary (base 2)1010011001100001
Octal (base 8)123141
Hexadecimal (base 16)A661
Base 32011102112
As time42593 seconds = 11 h 49 min 53 s

Is 42593 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 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 1)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 1)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 42593 a prime number?

No. 42593 = 191 × 223, so it is divisible by 191.

What are the factors of 42593?

1, 191, 223, 42593.

What is 42593 in binary?

1010011001100001 (hexadecimal A661, octal 123141).

What is the square root of 42593?

About 206.3807.

Is 42593 divisible by 3?

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

What is special about the number 42593?

42593 is a semiprime: 191 × 223, the product of two primes.

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