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The number 42939

42939 is a composite number with 12 divisors. Its prime factorisation is 323^{2} × 13 × 367. Divisors (12): 1, 3, 9, 13, 39, 117, 367, 1101, 3303, 4771, 14313, 42939.

Number

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How to work it out

  1. 1

    42939 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

    42939 is composite. Its prime factorisation is

    42939=32×13×36742939 = 3^{2} \times 13 \times 367
  3. 3

    The divisors add up to 66976; without 42939 itself that is 24037, so 42939 is deficient (24037 is less than 42939). Euler's totient φ(42939) = 26352 numbers up to 42939 share no factor with it.

  4. 4

    The digits of 42939 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 88 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42939 = 3^{2} \times 13 \times 367 \]

42939 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors66976
Euler totient φ(n)26352
Square1843757721
Cube79169112782019
Square root207.217277 (= 3√4771)
Digit sum / digital root27 / 9
Collatz steps to 188
Scientific notation4.2939 × 10410^{4}

42939 in other forms

FormValue
In wordsforty-two thousand nine hundred and thirty-nine
Binary (base 2)1010011110111011
Octal (base 8)123673
Hexadecimal (base 16)A7BB
Base 32011220100
As time42939 seconds = 11 h 55 min 39 s

Is 42939 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 (42939 ÷ 3 = 14313)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 4)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 1)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.
9Yes (42939 ÷ 9 = 4771)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)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 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 42939 a prime number?

No. 42939 = 323^{2} × 13 × 367, so it is divisible by 3.

What are the factors of 42939?

1, 3, 9, 13, 39, 117, 367, 1101, 3303, 4771, 14313, 42939.

What is 42939 in binary?

1010011110111011 (hexadecimal A7BB, octal 123673).

What is the square root of 42939?

About 207.2173, exactly 3√4771.

Is 42939 divisible by 3?

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

What is special about the number 42939?

It is a composite number with 12 divisors.

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    42939: is it prime? Factors, square root, binary, Roman numeral | WordGPT