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The number 4418

4418 is a composite number with 6 divisors. Its prime factorisation is 2 Ɨ 47247^{2}. Divisors (6): 1, 2, 47, 94, 2209, 4418.

Number

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How to work it out

  1. 1

    What is special about 4418: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    4418 is composite. Its prime factorisation is

    4418=2Ɨ4724418 = 2 \times 47^{2}
  3. 3

    The divisors add up to 6771; without 4418 itself that is 2353, so 4418 is deficient (2353 is less than 4418). Euler's totient φ(4418) = 2162 numbers up to 4418 share no factor with it.

  4. 4

    The digits of 4418 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 77 steps to reach 1.

LaTeX source of the formulas on this page
\[ 4418 = 2 \times 47^{2} \]

4418 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors6771
Euler totient φ(n)2162
Square19518724
Cube86233722632
Square root66.468037 (= 47√2)
Digit sum / digital root17 / 8
Collatz steps to 177
Scientific notation4.418 Ɨ 10310^{3}

4418 in other forms

FormValue
In wordsfour thousand four hundred and eighteen
Binary (base 2)1000101000010
Octal (base 8)10502
Hexadecimal (base 16)1142
Base 320001122
As time4418 seconds = 1 h 13 min 38 s

Is 4418 divisible by 2 to 12?

DivisorAnswerRule
2Yes (4418 Ć· 2 = 2209)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)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 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 1)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 8)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 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 4418 a prime number?

No. 4418 = 2 Ɨ 47247^{2}, so it is divisible by 2.

What are the factors of 4418?

1, 2, 47, 94, 2209, 4418.

What is 4418 in binary?

1000101000010 (hexadecimal 1142, octal 10502).

What is the square root of 4418?

About 66.4680, exactly 47√2.

Is 4418 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 4418?

4418 is a happy number: repeatedly adding the squares of its digits reaches 1.

All about 4418

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    4418: is it prime? Factors, square root, binary, Roman numeral | WordGPT