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The number 39789

39789 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 4421. Divisors (6): 1, 3, 9, 4421, 13263, 39789.

Number

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How to work it out

  1. 1

    39789 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

    39789 is composite. Its prime factorisation is

    39789=32×442139789 = 3^{2} \times 4421
  3. 3

    The divisors add up to 57486; without 39789 itself that is 17697, so 39789 is deficient (17697 is less than 39789). Euler's totient φ(39789) = 26520 numbers up to 39789 share no factor with it.

  4. 4

    The digits of 39789 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.

LaTeX source of the formulas on this page
\[ 39789 = 3^{2} \times 4421 \]

39789 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors57486
Euler totient φ(n)26520
Square1583164521
Cube62992533126069
Square root199.471803 (= 3√4421)
Digit sum / digital root36 / 9
Collatz steps to 1137
Scientific notation3.9789 × 10410^{4}

39789 in other forms

FormValue
In wordsthirty-nine thousand seven hundred and eighty-nine
Binary (base 2)1001101101101101
Octal (base 8)115555
Hexadecimal (base 16)9B6D
Base 32000120200
As time39789 seconds = 11 h 3 min 9 s

Is 39789 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).
3Yes (39789 ÷ 3 = 13263)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 3)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.
9Yes (39789 ÷ 9 = 4421)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 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 39789 a prime number?

No. 39789 = 323^{2} × 4421, so it is divisible by 3.

What are the factors of 39789?

1, 3, 9, 4421, 13263, 39789.

What is 39789 in binary?

1001101101101101 (hexadecimal 9B6D, octal 115555).

What is the square root of 39789?

About 199.4718, exactly 3√4421.

Is 39789 divisible by 3?

Yes. Its digits add up to 36, a multiple of 3.

What is special about the number 39789?

It is a composite number with 6 divisors.

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    39789: is it prime? Factors, square root, binary, Roman numeral | WordGPT