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The number 42716

42716 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 59 × 181. Divisors (12): 1, 2, 4, 59, 118, 181, 236, 362, 724, 10679, 21358, 42716.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    42716 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

    42716 is composite. Its prime factorisation is

    42716=22×59×18142716 = 2^{2} \times 59 \times 181
  3. 3

    The divisors add up to 76440; without 42716 itself that is 33724, so 42716 is deficient (33724 is less than 42716). Euler's totient φ(42716) = 20880 numbers up to 42716 share no factor with it.

  4. 4

    The digits of 42716 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42716 = 2^{2} \times 59 \times 181 \]

42716 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors76440
Euler totient φ(n)20880
Square1824656656
Cube77942033717696
Square root206.678494 (= 2√10679)
Digit sum / digital root20 / 2
Collatz steps to 149
Scientific notation4.2716 × 10410^{4}

42716 in other forms

FormValue
In wordsforty-two thousand seven hundred and sixteen
Binary (base 2)1010011011011100
Octal (base 8)123334
Hexadecimal (base 16)A6DC
Base 32011121002
As time42716 seconds = 11 h 51 min 56 s

Is 42716 divisible by 2 to 12?

DivisorAnswerRule
2Yes (42716 ÷ 2 = 21358)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.
4Yes (42716 ÷ 4 = 10679)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)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 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 6)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 42716 a prime number?

No. 42716 = 222^{2} × 59 × 181, so it is divisible by 2.

What are the factors of 42716?

1, 2, 4, 59, 118, 181, 236, 362, 724, 10679, 21358, 42716.

What is 42716 in binary?

1010011011011100 (hexadecimal A6DC, octal 123334).

What is the square root of 42716?

About 206.6785, exactly 2√10679.

Is 42716 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 42716?

It is a composite number with 12 divisors.

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    42716: is it prime? Factors, square root, binary, Roman numeral | WordGPT