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The number 11721

11721 is a composite number with 4 divisors. Its prime factorisation is 3 × 3907. Divisors (4): 1, 3, 3907, 11721.

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How to work it out

  1. 1

    What is special about 11721: a semiprime: 3 × 3907, the product of two primes.

  2. 2

    11721 is composite. Its prime factorisation is

    11721=3×390711721 = 3 \times 3907
  3. 3

    The divisors add up to 15632; without 11721 itself that is 3911, so 11721 is deficient (3911 is less than 11721). Euler's totient φ(11721) = 7812 numbers up to 11721 share no factor with it.

  4. 4

    The digits of 11721 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.

LaTeX source of the formulas on this page
\[ 11721 = 3 \times 3907 \]

11721 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors15632
Euler totient φ(n)7812
Square137381841
Cube1610252558361
Square root108.263567
Digit sum / digital root12 / 3
Collatz steps to 1130
Scientific notation1.1721 × 10410^{4}

11721 in other forms

FormValue
In wordseleven thousand seven hundred and twenty-one
Binary (base 2)10110111001001
Octal (base 8)26711
Hexadecimal (base 16)2DC9
Base 3121002010
As time11721 seconds = 3 h 15 min 21 s

Is 11721 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 (11721 ÷ 3 = 3907)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 1)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 3)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 3)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)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 11721 a prime number?

No. 11721 = 3 × 3907, so it is divisible by 3.

What are the factors of 11721?

1, 3, 3907, 11721.

What is 11721 in binary?

10110111001001 (hexadecimal 2DC9, octal 26711).

What is the square root of 11721?

About 108.2636.

Is 11721 divisible by 3?

Yes. Its digits add up to 12, a multiple of 3.

What is special about the number 11721?

11721 is a semiprime: 3 × 3907, the product of two primes.

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