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The number 42916

42916 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 10729. Divisors (6): 1, 2, 4, 10729, 21458, 42916.

Number

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How to work it out

  1. 1

    42916 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

    42916 is composite. Its prime factorisation is

    42916=22×1072942916 = 2^{2} \times 10729
  3. 3

    The divisors add up to 75110; without 42916 itself that is 32194, so 42916 is deficient (32194 is less than 42916). Euler's totient φ(42916) = 21456 numbers up to 42916 share no factor with it.

  4. 4

    The digits of 42916 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42916 = 2^{2} \times 10729 \]

42916 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors75110
Euler totient φ(n)21456
Square1841783056
Cube79041961631296
Square root207.161773 (= 2√10729)
Digit sum / digital root22 / 4
Collatz steps to 149
Scientific notation4.2916 × 10410^{4}

42916 in other forms

FormValue
In wordsforty-two thousand nine hundred and sixteen
Binary (base 2)1010011110100100
Octal (base 8)123644
Hexadecimal (base 16)A7A4
Base 32011212111
As time42916 seconds = 11 h 55 min 16 s

Is 42916 divisible by 2 to 12?

DivisorAnswerRule
2Yes (42916 ÷ 2 = 21458)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.
4Yes (42916 ÷ 4 = 10729)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 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 6)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 4)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 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 42916 a prime number?

No. 42916 = 222^{2} × 10729, so it is divisible by 2.

What are the factors of 42916?

1, 2, 4, 10729, 21458, 42916.

What is 42916 in binary?

1010011110100100 (hexadecimal A7A4, octal 123644).

What is the square root of 42916?

About 207.1618, exactly 2√10729.

Is 42916 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 42916?

It is a composite number with 6 divisors.

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    42916: is it prime? Factors, square root, binary, Roman numeral | WordGPT