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The number 18226

18226 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 701. Divisors (8): 1, 2, 13, 26, 701, 1402, 9113, 18226.

Number

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How to work it out

  1. 1

    What is special about 18226: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    18226 is composite. Its prime factorisation is

    18226=2×13×70118226 = 2 \times 13 \times 701
  3. 3

    The divisors add up to 29484; without 18226 itself that is 11258, so 18226 is deficient (11258 is less than 18226). Euler's totient φ(18226) = 8400 numbers up to 18226 share no factor with it.

  4. 4

    The digits of 18226 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 61 steps to reach 1.

LaTeX source of the formulas on this page
\[ 18226 = 2 \times 13 \times 701 \]

18226 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors29484
Euler totient φ(n)8400
Square332187076
Cube6054441647176
Square root135.003704
Digit sum / digital root19 / 1
Collatz steps to 161
Scientific notation1.8226 × 10410^{4}

18226 in other forms

FormValue
In wordseighteen thousand two hundred and twenty-six
Binary (base 2)100011100110010
Octal (base 8)43462
Hexadecimal (base 16)4732
Base 3221000001
As time18226 seconds = 5 h 3 min 46 s

Is 18226 divisible by 2 to 12?

DivisorAnswerRule
2Yes (18226 ÷ 2 = 9113)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 1)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.
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 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 6)A number is divisible by 10 if the last digit is 0.
11No (remainder 10)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 18226 a prime number?

No. 18226 = 2 × 13 × 701, so it is divisible by 2.

What are the factors of 18226?

1, 2, 13, 26, 701, 1402, 9113, 18226.

What is 18226 in binary?

100011100110010 (hexadecimal 4732, octal 43462).

What is the square root of 18226?

About 135.0037.

Is 18226 divisible by 3?

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

What is special about the number 18226?

18226 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    18226: is it prime? Factors, square root, binary, Roman numeral | WordGPT