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The number 11979

11979 is a composite number with 12 divisors. Its prime factorisation is 323^{2} × 11311^{3}. Divisors (12): 1, 3, 9, 11, 33, 99, 121, 363, 1089, 1331, 3993, 11979.

Number

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How to work it out

  1. 1

    11979 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

    11979 is composite. Its prime factorisation is

    11979=32×11311979 = 3^{2} \times 11^{3}
  3. 3

    The divisors add up to 19032; without 11979 itself that is 7053, so 11979 is deficient (7053 is less than 11979). Euler's totient φ(11979) = 7260 numbers up to 11979 share no factor with it.

  4. 4

    The digits of 11979 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.

LaTeX source of the formulas on this page
\[ 11979 = 3^{2} \times 11^{3} \]

11979 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors19032
Euler totient φ(n)7260
Square143496441
Cube1718943866739
Square root109.448618 (= 33√11)
Digit sum / digital root27 / 9
Collatz steps to 1187
Scientific notation1.1979 × 10410^{4}

11979 in other forms

FormValue
In wordseleven thousand nine hundred and seventy-nine
Binary (base 2)10111011001011
Octal (base 8)27313
Hexadecimal (base 16)2ECB
Base 3121102200
As time11979 seconds = 3 h 19 min 39 s

Is 11979 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 (11979 ÷ 3 = 3993)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.
7No (remainder 2)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.
9Yes (11979 ÷ 9 = 1331)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.
11Yes (11979 ÷ 11 = 1089)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 11979 a prime number?

No. 11979 = 323^{2} × 11311^{3}, so it is divisible by 3.

What are the factors of 11979?

1, 3, 9, 11, 33, 99, 121, 363, 1089, 1331, 3993, 11979.

What is 11979 in binary?

10111011001011 (hexadecimal 2ECB, octal 27313).

What is the square root of 11979?

About 109.4486, exactly 33√11.

Is 11979 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 11979?

It is a composite number with 12 divisors.

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    11979: is it prime? Factors, square root, binary, Roman numeral | WordGPT