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The number 20818

20818 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 1487. Divisors (8): 1, 2, 7, 14, 1487, 2974, 10409, 20818.

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How to work it out

  1. 1

    What is special about 20818: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    20818 is composite. Its prime factorisation is

    20818=2×7×148720818 = 2 \times 7 \times 1487
  3. 3

    The divisors add up to 35712; without 20818 itself that is 14894, so 20818 is deficient (14894 is less than 20818). Euler's totient φ(20818) = 8916 numbers up to 20818 share no factor with it.

  4. 4

    The digits of 20818 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 87 steps to reach 1.

LaTeX source of the formulas on this page
\[ 20818 = 2 \times 7 \times 1487 \]

20818 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors35712
Euler totient φ(n)8916
Square433389124
Cube9022294783432
Square root144.284441
Digit sum / digital root19 / 1
Collatz steps to 187
Scientific notation2.0818 × 10410^{4}

20818 in other forms

FormValue
In wordstwenty thousand eight hundred and eighteen
Binary (base 2)101000101010010
Octal (base 8)50522
Hexadecimal (base 16)5152
Base 31001120001
As time20818 seconds = 5 h 46 min 58 s

Is 20818 divisible by 2 to 12?

DivisorAnswerRule
2Yes (20818 ÷ 2 = 10409)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 2)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 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (20818 ÷ 7 = 2974)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 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 20818 a prime number?

No. 20818 = 2 × 7 × 1487, so it is divisible by 2.

What are the factors of 20818?

1, 2, 7, 14, 1487, 2974, 10409, 20818.

What is 20818 in binary?

101000101010010 (hexadecimal 5152, octal 50522).

What is the square root of 20818?

About 144.2844.

Is 20818 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 20818?

20818 is a happy number: repeatedly adding the squares of its digits reaches 1.

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