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The number 38188

38188 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 9547. Divisors (6): 1, 2, 4, 9547, 19094, 38188.

Number

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How to work it out

  1. 1

    38188 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    38188 is composite. Its prime factorisation is

    38188=22×954738188 = 2^{2} \times 9547
  3. 3

    The divisors add up to 66836; without 38188 itself that is 28648, so 38188 is deficient (28648 is less than 38188). Euler's totient φ(38188) = 19092 numbers up to 38188 share no factor with it.

  4. 4

    The digits of 38188 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.

LaTeX source of the formulas on this page
\[ 38188 = 2^{2} \times 9547 \]

38188 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors66836
Euler totient φ(n)19092
Square1458323344
Cube55690451860672
Square root195.417502 (= 2√9547)
Digit sum / digital root28 / 1
Collatz steps to 1106
Scientific notation3.8188 × 10410^{4}

38188 in other forms

FormValue
In wordsthirty-eight thousand one hundred and eighty-eight
Binary (base 2)1001010100101100
Octal (base 8)112454
Hexadecimal (base 16)952C
Base 31221101101
As time38188 seconds = 10 h 36 min 28 s

Is 38188 divisible by 2 to 12?

DivisorAnswerRule
2Yes (38188 ÷ 2 = 19094)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.
4Yes (38188 ÷ 4 = 9547)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.
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 4)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 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 38188 a prime number?

No. 38188 = 222^{2} × 9547, so it is divisible by 2.

What are the factors of 38188?

1, 2, 4, 9547, 19094, 38188.

What is 38188 in binary?

1001010100101100 (hexadecimal 952C, octal 112454).

What is the square root of 38188?

About 195.4175, exactly 2√9547.

Is 38188 divisible by 3?

No. Its digits add up to 28, which is not a multiple of 3.

What is special about the number 38188?

It is a composite number with 6 divisors.

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    38188: is it prime? Factors, square root, binary, Roman numeral | WordGPT