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The number 42730

42730 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 4273. Divisors (8): 1, 2, 5, 10, 4273, 8546, 21365, 42730.

Number

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How to work it out

  1. 1

    42730 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

    42730 is composite. Its prime factorisation is

    42730=2×5×427342730 = 2 \times 5 \times 4273
  3. 3

    The divisors add up to 76932; without 42730 itself that is 34202, so 42730 is deficient (34202 is less than 42730). Euler's totient φ(42730) = 17088 numbers up to 42730 share no factor with it.

  4. 4

    The digits of 42730 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42730 = 2 \times 5 \times 4273 \]

42730 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors76932
Euler totient φ(n)17088
Square1825852900
Cube78018694417000
Square root206.712361
Digit sum / digital root16 / 7
Collatz steps to 1150
Scientific notation4.273 × 10410^{4}

42730 in other forms

FormValue
In wordsforty-two thousand seven hundred and thirty
Binary (base 2)1010011011101010
Octal (base 8)123352
Hexadecimal (base 16)A6EA
Base 32011121121
As time42730 seconds = 11 h 52 min 10 s

Is 42730 divisible by 2 to 12?

DivisorAnswerRule
2Yes (42730 ÷ 2 = 21365)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)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.
5Yes (42730 ÷ 5 = 8546)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)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 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10Yes (42730 ÷ 10 = 4273)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 42730 a prime number?

No. 42730 = 2 × 5 × 4273, so it is divisible by 2.

What are the factors of 42730?

1, 2, 5, 10, 4273, 8546, 21365, 42730.

What is 42730 in binary?

1010011011101010 (hexadecimal A6EA, octal 123352).

What is the square root of 42730?

About 206.7124.

Is 42730 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 42730?

It is a composite number with 8 divisors.

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    42730: is it prime? Factors, square root, binary, Roman numeral | WordGPT