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The number 12723

12723 is a composite number with 4 divisors. Its prime factorisation is 3 × 4241. Divisors (4): 1, 3, 4241, 12723.

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How to work it out

  1. 1

    What is special about 12723: a semiprime: 3 × 4241, the product of two primes.

  2. 2

    12723 is composite. Its prime factorisation is

    12723=3×424112723 = 3 \times 4241
  3. 3

    The divisors add up to 16968; without 12723 itself that is 4245, so 12723 is deficient (4245 is less than 12723). Euler's totient φ(12723) = 8480 numbers up to 12723 share no factor with it.

  4. 4

    The digits of 12723 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.

LaTeX source of the formulas on this page
\[ 12723 = 3 \times 4241 \]

12723 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors16968
Euler totient φ(n)8480
Square161874729
Cube2059532177067
Square root112.796277
Digit sum / digital root15 / 6
Collatz steps to 1107
Scientific notation1.2723 × 10410^{4}

12723 in other forms

FormValue
In wordstwelve thousand seven hundred and twenty-three
Binary (base 2)11000110110011
Octal (base 8)30663
Hexadecimal (base 16)31B3
Base 3122110020
As time12723 seconds = 3 h 32 min 3 s

Is 12723 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 (12723 ÷ 3 = 4241)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 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)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 6)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 7)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 12723 a prime number?

No. 12723 = 3 × 4241, so it is divisible by 3.

What are the factors of 12723?

1, 3, 4241, 12723.

What is 12723 in binary?

11000110110011 (hexadecimal 31B3, octal 30663).

What is the square root of 12723?

About 112.7963.

Is 12723 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 12723?

12723 is a semiprime: 3 × 4241, the product of two primes.

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