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The number 38323

38323 is a composite number with 4 divisors. Its prime factorisation is 19 × 2017. Divisors (4): 1, 19, 2017, 38323.

Number

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How to work it out

  1. 1

    What is special about 38323: a Harshad number: divisible by its digit sum 19; a semiprime: 19 × 2017, the product of two primes.

  2. 2

    38323 is composite. Its prime factorisation is

    38323=19×201738323 = 19 \times 2017
  3. 3

    The divisors add up to 40360; without 38323 itself that is 2037, so 38323 is deficient (2037 is less than 38323). Euler's totient φ(38323) = 36288 numbers up to 38323 share no factor with it.

  4. 4

    The digits of 38323 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.

LaTeX source of the formulas on this page
\[ 38323 = 19 \times 2017 \]

38323 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors40360
Euler totient φ(n)36288
Square1468652329
Cube56283163204267
Square root195.762611
Digit sum / digital root19 / 1
Collatz steps to 175
Scientific notation3.8323 × 10410^{4}

38323 in other forms

FormValue
In wordsthirty-eight thousand three hundred and twenty-three
Binary (base 2)1001010110110011
Octal (base 8)112663
Hexadecimal (base 16)95B3
Base 31221120101
As time38323 seconds = 10 h 38 min 43 s

Is 38323 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 3)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 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 5)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 3)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 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 38323 a prime number?

No. 38323 = 19 × 2017, so it is divisible by 19.

What are the factors of 38323?

1, 19, 2017, 38323.

What is 38323 in binary?

1001010110110011 (hexadecimal 95B3, octal 112663).

What is the square root of 38323?

About 195.7626.

Is 38323 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 38323?

38323 is a Harshad number: divisible by its digit sum 19; a semiprime: 19 × 2017, the product of two primes.

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    38323: is it prime? Factors, square root, binary, Roman numeral | WordGPT