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The number 20523

20523 is a composite number with 4 divisors. Its prime factorisation is 3 × 6841. Divisors (4): 1, 3, 6841, 20523.

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How to work it out

  1. 1

    What is special about 20523: a semiprime: 3 × 6841, the product of two primes.

  2. 2

    20523 is composite. Its prime factorisation is

    20523=3×684120523 = 3 \times 6841
  3. 3

    The divisors add up to 27368; without 20523 itself that is 6845, so 20523 is deficient (6845 is less than 20523). Euler's totient φ(20523) = 13680 numbers up to 20523 share no factor with it.

  4. 4

    The digits of 20523 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 61 steps to reach 1.

LaTeX source of the formulas on this page
\[ 20523 = 3 \times 6841 \]

20523 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors27368
Euler totient φ(n)13680
Square421193529
Cube8644154795667
Square root143.258508
Digit sum / digital root12 / 3
Collatz steps to 161
Scientific notation2.0523 × 10410^{4}

20523 in other forms

FormValue
In wordstwenty thousand five hundred and twenty-three
Binary (base 2)101000000101011
Octal (base 8)50053
Hexadecimal (base 16)502B
Base 31001011010
As time20523 seconds = 5 h 42 min 3 s

Is 20523 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 (20523 ÷ 3 = 6841)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 3)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 6)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 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)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 20523 a prime number?

No. 20523 = 3 × 6841, so it is divisible by 3.

What are the factors of 20523?

1, 3, 6841, 20523.

What is 20523 in binary?

101000000101011 (hexadecimal 502B, octal 50053).

What is the square root of 20523?

About 143.2585.

Is 20523 divisible by 3?

Yes. Its digits add up to 12, a multiple of 3.

What is special about the number 20523?

20523 is a semiprime: 3 × 6841, the product of two primes.

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