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The number 38389

38389 is a composite number with 4 divisors. Its prime factorisation is 13 × 2953. Divisors (4): 1, 13, 2953, 38389.

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How to work it out

  1. 1

    What is special about 38389: a semiprime: 13 × 2953, the product of two primes.

  2. 2

    38389 is composite. Its prime factorisation is

    38389=13×295338389 = 13 \times 2953
  3. 3

    The divisors add up to 41356; without 38389 itself that is 2967, so 38389 is deficient (2967 is less than 38389). Euler's totient φ(38389) = 35424 numbers up to 38389 share no factor with it.

  4. 4

    The digits of 38389 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.

LaTeX source of the formulas on this page
\[ 38389 = 13 \times 2953 \]

38389 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors41356
Euler totient φ(n)35424
Square1473715321
Cube56574457457869
Square root195.931110
Digit sum / digital root31 / 4
Collatz steps to 175
Scientific notation3.8389 × 10410^{4}

38389 in other forms

FormValue
In wordsthirty-eight thousand three hundred and eighty-nine
Binary (base 2)1001010111110101
Octal (base 8)112765
Hexadecimal (base 16)95F5
Base 31221122211
As time38389 seconds = 10 h 39 min 49 s

Is 38389 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 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)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 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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)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 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 38389 a prime number?

No. 38389 = 13 × 2953, so it is divisible by 13.

What are the factors of 38389?

1, 13, 2953, 38389.

What is 38389 in binary?

1001010111110101 (hexadecimal 95F5, octal 112765).

What is the square root of 38389?

About 195.9311.

Is 38389 divisible by 3?

No. Its digits add up to 31, which is not a multiple of 3.

What is special about the number 38389?

38389 is a semiprime: 13 × 2953, the product of two primes.

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    38389: is it prime? Factors, square root, binary, Roman numeral | WordGPT