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The number 38118

38118 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 6353. Divisors (8): 1, 2, 3, 6, 6353, 12706, 19059, 38118.

Number

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How to work it out

  1. 1

    What is special about 38118: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    38118 is composite. Its prime factorisation is

    38118=2×3×635338118 = 2 \times 3 \times 6353
  3. 3

    The divisors add up to 76248; without 38118 itself that is 38130, so 38118 is abundant (38130 is more than 38118). Euler's totient φ(38118) = 12704 numbers up to 38118 share no factor with it.

  4. 4

    The digits of 38118 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.

LaTeX source of the formulas on this page
\[ 38118 = 2 \times 3 \times 6353 \]

38118 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors76248
Euler totient φ(n)12704
Square1452981924
Cube55384764979032
Square root195.238316
Digit sum / digital root21 / 3
Collatz steps to 1106
Scientific notation3.8118 × 10410^{4}

38118 in other forms

FormValue
In wordsthirty-eight thousand one hundred and eighteen
Binary (base 2)1001010011100110
Octal (base 8)112346
Hexadecimal (base 16)94E6
Base 31221021210
As time38118 seconds = 10 h 35 min 18 s

Is 38118 divisible by 2 to 12?

DivisorAnswerRule
2Yes (38118 ÷ 2 = 19059)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (38118 ÷ 3 = 12706)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.
6Yes (38118 ÷ 6 = 6353)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)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 6)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 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 6)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 38118 a prime number?

No. 38118 = 2 × 3 × 6353, so it is divisible by 2.

What are the factors of 38118?

1, 2, 3, 6, 6353, 12706, 19059, 38118.

What is 38118 in binary?

1001010011100110 (hexadecimal 94E6, octal 112346).

What is the square root of 38118?

About 195.2383.

Is 38118 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 38118?

38118 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    38118: is it prime? Factors, square root, binary, Roman numeral | WordGPT