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The number 39879

39879 is a composite number with 16 divisors. Its prime factorisation is 333^{3} × 7 × 211. Divisors (16): 1, 3, 7, 9, 21, 27, 63, 189, 211, 633, 1477, 1899, 4431, 5697, 13293, 39879.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    39879 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

    39879 is composite. Its prime factorisation is

    39879=33×7×21139879 = 3^{3} \times 7 \times 211
  3. 3

    The divisors add up to 67840; without 39879 itself that is 27961, so 39879 is deficient (27961 is less than 39879). Euler's totient φ(39879) = 22680 numbers up to 39879 share no factor with it.

  4. 4

    The digits of 39879 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 212 steps to reach 1.

LaTeX source of the formulas on this page
\[ 39879 = 3^{3} \times 7 \times 211 \]

39879 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors67840
Euler totient φ(n)22680
Square1590334641
Cube63420955148439
Square root199.697271 (= 3√4431)
Digit sum / digital root36 / 9
Collatz steps to 1212
Scientific notation3.9879 × 10410^{4}

39879 in other forms

FormValue
In wordsthirty-nine thousand eight hundred and seventy-nine
Binary (base 2)1001101111000111
Octal (base 8)115707
Hexadecimal (base 16)9BC7
Base 32000201000
As time39879 seconds = 11 h 4 min 39 s

Is 39879 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 (39879 ÷ 3 = 13293)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 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.
7Yes (39879 ÷ 7 = 5697)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (39879 ÷ 9 = 4431)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 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 39879 a prime number?

No. 39879 = 333^{3} × 7 × 211, so it is divisible by 3.

What are the factors of 39879?

1, 3, 7, 9, 21, 27, 63, 189, 211, 633, 1477, 1899, 4431, 5697, 13293, 39879.

What is 39879 in binary?

1001101111000111 (hexadecimal 9BC7, octal 115707).

What is the square root of 39879?

About 199.6973, exactly 3√4431.

Is 39879 divisible by 3?

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

What is special about the number 39879?

It is a composite number with 16 divisors.

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    39879: is it prime? Factors, square root, binary, Roman numeral | WordGPT