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The number 18421

18421 is a composite number with 6 divisors. Its prime factorisation is 13213^{2} Ɨ 109. Divisors (6): 1, 13, 109, 169, 1417, 18421.

Number

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How to work it out

  1. 1

    What is special about 18421: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    18421 is composite. Its prime factorisation is

    18421=132Ɨ10918421 = 13^{2} \times 109
  3. 3

    The divisors add up to 20130; without 18421 itself that is 1709, so 18421 is deficient (1709 is less than 18421). Euler's totient φ(18421) = 16848 numbers up to 18421 share no factor with it.

  4. 4

    The digits of 18421 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 61 steps to reach 1.

LaTeX source of the formulas on this page
\[ 18421 = 13^{2} \times 109 \]

18421 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors20130
Euler totient φ(n)16848
Square339333241
Cube6250857632461
Square root135.723985 (= 13√109)
Digit sum / digital root16 / 7
Collatz steps to 161
Scientific notation1.8421 Ɨ 10410^{4}

18421 in other forms

FormValue
In wordseighteen thousand four hundred and twenty-one
Binary (base 2)100011111110101
Octal (base 8)43765
Hexadecimal (base 16)47F5
Base 3221021021
As time18421 seconds = 5 h 7 min 1 s

Is 18421 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).
3No (remainder 1)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 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 18421 a prime number?

No. 18421 = 13213^{2} Ɨ 109, so it is divisible by 13.

What are the factors of 18421?

1, 13, 109, 169, 1417, 18421.

What is 18421 in binary?

100011111110101 (hexadecimal 47F5, octal 43765).

What is the square root of 18421?

About 135.7240, exactly 13√109.

Is 18421 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 18421?

18421 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    18421: is it prime? Factors, square root, binary, Roman numeral | WordGPT