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The number 56871

56871 is a composite number with 12 divisors. Its prime factorisation is 323^{2} × 71 × 89. Divisors (12): 1, 3, 9, 71, 89, 213, 267, 639, 801, 6319, 18957, 56871.

Number

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How to work it out

  1. 1

    56871 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

    56871 is composite. Its prime factorisation is

    56871=32×71×8956871 = 3^{2} \times 71 \times 89
  3. 3

    The divisors add up to 84240; without 56871 itself that is 27369, so 56871 is deficient (27369 is less than 56871). Euler's totient φ(56871) = 36960 numbers up to 56871 share no factor with it.

  4. 4

    The digits of 56871 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 60 steps to reach 1.

LaTeX source of the formulas on this page
\[ 56871 = 3^{2} \times 71 \times 89 \]

56871 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors84240
Euler totient φ(n)36960
Square3234310641
Cube183938480464311
Square root238.476414 (= 3√6319)
Digit sum / digital root27 / 9
Collatz steps to 160
Scientific notation5.6871 × 10410^{4}

56871 in other forms

FormValue
In wordsfifty-six thousand eight hundred and seventy-one
Binary (base 2)1101111000100111
Octal (base 8)157047
Hexadecimal (base 16)DE27
Base 32220000100
As time56871 seconds = 15 h 47 min 51 s

Is 56871 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 (56871 ÷ 3 = 18957)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 3)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (56871 ÷ 9 = 6319)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 1)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 56871 a prime number?

No. 56871 = 323^{2} × 71 × 89, so it is divisible by 3.

What are the factors of 56871?

1, 3, 9, 71, 89, 213, 267, 639, 801, 6319, 18957, 56871.

What is 56871 in binary?

1101111000100111 (hexadecimal DE27, octal 157047).

What is the square root of 56871?

About 238.4764, exactly 3√6319.

Is 56871 divisible by 3?

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

What is special about the number 56871?

It is a composite number with 12 divisors.

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    56871: is it prime? Factors, square root, binary, Roman numeral | WordGPT