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The number 42894

42894 is a composite number with 12 divisors. Its prime factorisation is 2 × 323^{2} × 2383. Divisors (12): 1, 2, 3, 6, 9, 18, 2383, 4766, 7149, 14298, 21447, 42894.

Number

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How to work it out

  1. 1

    42894 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

    42894 is composite. Its prime factorisation is

    42894=2×32×238342894 = 2 \times 3^{2} \times 2383
  3. 3

    The divisors add up to 92976; without 42894 itself that is 50082, so 42894 is abundant (50082 is more than 42894). Euler's totient φ(42894) = 14292 numbers up to 42894 share no factor with it.

  4. 4

    The digits of 42894 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42894 = 2 \times 3^{2} \times 2383 \]

42894 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors92976
Euler totient φ(n)14292
Square1839895236
Cube78920466252984
Square root207.108667 (= 3√4766)
Digit sum / digital root27 / 9
Collatz steps to 149
Scientific notation4.2894 × 10410^{4}

42894 in other forms

FormValue
In wordsforty-two thousand eight hundred and ninety-four
Binary (base 2)1010011110001110
Octal (base 8)123616
Hexadecimal (base 16)A78E
Base 32011211200
As time42894 seconds = 11 h 54 min 54 s

Is 42894 divisible by 2 to 12?

DivisorAnswerRule
2Yes (42894 ÷ 2 = 21447)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (42894 ÷ 3 = 14298)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)A number is divisible by 5 if the last digit is 0 or 5.
6Yes (42894 ÷ 6 = 7149)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 6)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (42894 ÷ 9 = 4766)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 4)A number is divisible by 10 if the last digit is 0.
11No (remainder 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 6)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 42894 a prime number?

No. 42894 = 2 × 323^{2} × 2383, so it is divisible by 2.

What are the factors of 42894?

1, 2, 3, 6, 9, 18, 2383, 4766, 7149, 14298, 21447, 42894.

What is 42894 in binary?

1010011110001110 (hexadecimal A78E, octal 123616).

What is the square root of 42894?

About 207.1087, exactly 3√4766.

Is 42894 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 42894?

It is a composite number with 12 divisors.

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    42894: is it prime? Factors, square root, binary, Roman numeral | WordGPT