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The number 20529

20529 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 2281. Divisors (6): 1, 3, 9, 2281, 6843, 20529.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    20529 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

    20529 is composite. Its prime factorisation is

    20529=32×228120529 = 3^{2} \times 2281
  3. 3

    The divisors add up to 29666; without 20529 itself that is 9137, so 20529 is deficient (9137 is less than 20529). Euler's totient φ(20529) = 13680 numbers up to 20529 share no factor with it.

  4. 4

    The digits of 20529 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 136 steps to reach 1.

LaTeX source of the formulas on this page
\[ 20529 = 3^{2} \times 2281 \]

20529 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors29666
Euler totient φ(n)13680
Square421439841
Cube8651738495889
Square root143.279447 (= 3√2281)
Digit sum / digital root18 / 9
Collatz steps to 1136
Scientific notation2.0529 × 10410^{4}

20529 in other forms

FormValue
In wordstwenty thousand five hundred and twenty-nine
Binary (base 2)101000000110001
Octal (base 8)50061
Hexadecimal (base 16)5031
Base 31001011100
As time20529 seconds = 5 h 42 min 9 s

Is 20529 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 (20529 ÷ 3 = 6843)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 5)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 (20529 ÷ 9 = 2281)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 3)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 20529 a prime number?

No. 20529 = 323^{2} × 2281, so it is divisible by 3.

What are the factors of 20529?

1, 3, 9, 2281, 6843, 20529.

What is 20529 in binary?

101000000110001 (hexadecimal 5031, octal 50061).

What is the square root of 20529?

About 143.2794, exactly 3√2281.

Is 20529 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 20529?

It is a composite number with 6 divisors.

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