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The number 42771

42771 is a composite number with 8 divisors. Its prime factorisation is 3 × 53 × 269. Divisors (8): 1, 3, 53, 159, 269, 807, 14257, 42771.

Number

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How to work it out

  1. 1

    42771 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

    42771 is composite. Its prime factorisation is

    42771=3×53×26942771 = 3 \times 53 \times 269
  3. 3

    The divisors add up to 58320; without 42771 itself that is 15549, so 42771 is deficient (15549 is less than 42771). Euler's totient φ(42771) = 27872 numbers up to 42771 share no factor with it.

  4. 4

    The digits of 42771 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42771 = 3 \times 53 \times 269 \]

42771 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors58320
Euler totient φ(n)27872
Square1829358441
Cube78243489880011
Square root206.811508
Digit sum / digital root21 / 3
Collatz steps to 1101
Scientific notation4.2771 × 10410^{4}

42771 in other forms

FormValue
In wordsforty-two thousand seven hundred and seventy-one
Binary (base 2)1010011100010011
Octal (base 8)123423
Hexadecimal (base 16)A713
Base 32011200010
As time42771 seconds = 11 h 52 min 51 s

Is 42771 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 (42771 ÷ 3 = 14257)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 1)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.
9No (remainder 3)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)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 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 42771 a prime number?

No. 42771 = 3 × 53 × 269, so it is divisible by 3.

What are the factors of 42771?

1, 3, 53, 159, 269, 807, 14257, 42771.

What is 42771 in binary?

1010011100010011 (hexadecimal A713, octal 123423).

What is the square root of 42771?

About 206.8115.

Is 42771 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 42771?

It is a composite number with 8 divisors.

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    42771: is it prime? Factors, square root, binary, Roman numeral | WordGPT