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The number 56529

56529 is a composite number with 12 divisors. Its prime factorisation is 323^{2} × 11 × 571. Divisors (12): 1, 3, 9, 11, 33, 99, 571, 1713, 5139, 6281, 18843, 56529.

Number

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How to work it out

  1. 1

    56529 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

    56529 is composite. Its prime factorisation is

    56529=32×11×57156529 = 3^{2} \times 11 \times 571
  3. 3

    The divisors add up to 89232; without 56529 itself that is 32703, so 56529 is deficient (32703 is less than 56529). Euler's totient φ(56529) = 34200 numbers up to 56529 share no factor with it.

  4. 4

    The digits of 56529 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 166 steps to reach 1.

LaTeX source of the formulas on this page
\[ 56529 = 3^{2} \times 11 \times 571 \]

56529 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors89232
Euler totient φ(n)34200
Square3195527841
Cube180639993323889
Square root237.758281 (= 3√6281)
Digit sum / digital root27 / 9
Collatz steps to 1166
Scientific notation5.6529 × 10410^{4}

56529 in other forms

FormValue
In wordsfifty-six thousand five hundred and twenty-nine
Binary (base 2)1101110011010001
Octal (base 8)156321
Hexadecimal (base 16)DCD1
Base 32212112200
As time56529 seconds = 15 h 42 min 9 s

Is 56529 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 (56529 ÷ 3 = 18843)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)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 4)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (56529 ÷ 9 = 6281)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.
11Yes (56529 ÷ 11 = 5139)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 56529 a prime number?

No. 56529 = 323^{2} × 11 × 571, so it is divisible by 3.

What are the factors of 56529?

1, 3, 9, 11, 33, 99, 571, 1713, 5139, 6281, 18843, 56529.

What is 56529 in binary?

1101110011010001 (hexadecimal DCD1, octal 156321).

What is the square root of 56529?

About 237.7583, exactly 3√6281.

Is 56529 divisible by 3?

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

What is special about the number 56529?

It is a composite number with 12 divisors.

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    56529: is it prime? Factors, square root, binary, Roman numeral | WordGPT