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The number 38338

38338 is a composite number with 8 divisors. Its prime factorisation is 2 × 29 × 661. Divisors (8): 1, 2, 29, 58, 661, 1322, 19169, 38338.

Number

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How to work it out

  1. 1

    38338 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

    38338 is composite. Its prime factorisation is

    38338=2×29×66138338 = 2 \times 29 \times 661
  3. 3

    The divisors add up to 59580; without 38338 itself that is 21242, so 38338 is deficient (21242 is less than 38338). Euler's totient φ(38338) = 18480 numbers up to 38338 share no factor with it.

  4. 4

    The digits of 38338 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 155 steps to reach 1.

LaTeX source of the formulas on this page
\[ 38338 = 2 \times 29 \times 661 \]

38338 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors59580
Euler totient φ(n)18480
Square1469802244
Cube56349278430472
Square root195.800919
Digit sum / digital root25 / 7
Collatz steps to 1155
Scientific notation3.8338 × 10410^{4}

38338 in other forms

FormValue
In wordsthirty-eight thousand three hundred and thirty-eight
Binary (base 2)1001010111000010
Octal (base 8)112702
Hexadecimal (base 16)95C2
Base 31221120221
As time38338 seconds = 10 h 38 min 58 s

Is 38338 divisible by 2 to 12?

DivisorAnswerRule
2Yes (38338 ÷ 2 = 19169)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 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 6)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 7)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 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 38338 a prime number?

No. 38338 = 2 × 29 × 661, so it is divisible by 2.

What are the factors of 38338?

1, 2, 29, 58, 661, 1322, 19169, 38338.

What is 38338 in binary?

1001010111000010 (hexadecimal 95C2, octal 112702).

What is the square root of 38338?

About 195.8009.

Is 38338 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 38338?

It is a composite number with 8 divisors.

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    38338: is it prime? Factors, square root, binary, Roman numeral | WordGPT