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The number 42387

42387 is a composite number with 8 divisors. Its prime factorisation is 3 × 71 × 199. Divisors (8): 1, 3, 71, 199, 213, 597, 14129, 42387.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    42387 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

    42387 is composite. Its prime factorisation is

    42387=3×71×19942387 = 3 \times 71 \times 199
  3. 3

    The divisors add up to 57600; without 42387 itself that is 15213, so 42387 is deficient (15213 is less than 42387). Euler's totient φ(42387) = 27720 numbers up to 42387 share no factor with it.

  4. 4

    The digits of 42387 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42387 = 3 \times 71 \times 199 \]

42387 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors57600
Euler totient φ(n)27720
Square1796657769
Cube76154932854603
Square root205.881034
Digit sum / digital root24 / 6
Collatz steps to 157
Scientific notation4.2387 × 10410^{4}

42387 in other forms

FormValue
In wordsforty-two thousand three hundred and eighty-seven
Binary (base 2)1010010110010011
Octal (base 8)122623
Hexadecimal (base 16)A593
Base 32011010220
As time42387 seconds = 11 h 46 min 27 s

Is 42387 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 (42387 ÷ 3 = 14129)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 2)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 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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 6)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)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 42387 a prime number?

No. 42387 = 3 × 71 × 199, so it is divisible by 3.

What are the factors of 42387?

1, 3, 71, 199, 213, 597, 14129, 42387.

What is 42387 in binary?

1010010110010011 (hexadecimal A593, octal 122623).

What is the square root of 42387?

About 205.8810.

Is 42387 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 42387?

It is a composite number with 8 divisors.

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    42387: is it prime? Factors, square root, binary, Roman numeral | WordGPT