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The number 11441

11441 is a composite number with 4 divisors. Its prime factorisation is 17 × 673. Divisors (4): 1, 17, 673, 11441.

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How to work it out

  1. 1

    What is special about 11441: a semiprime: 17 × 673, the product of two primes.

  2. 2

    11441 is composite. Its prime factorisation is

    11441=17×67311441 = 17 \times 673
  3. 3

    The divisors add up to 12132; without 11441 itself that is 691, so 11441 is deficient (691 is less than 11441). Euler's totient φ(11441) = 10752 numbers up to 11441 share no factor with it.

  4. 4

    The digits of 11441 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.

LaTeX source of the formulas on this page
\[ 11441 = 17 \times 673 \]

11441 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors12132
Euler totient φ(n)10752
Square130896481
Cube1497586639121
Square root106.962610
Digit sum / digital root11 / 2
Collatz steps to 181
Scientific notation1.1441 × 10410^{4}

11441 in other forms

FormValue
In wordseleven thousand four hundred and forty-one
Binary (base 2)10110010110001
Octal (base 8)26261
Hexadecimal (base 16)2CB1
Base 3120200202
As time11441 seconds = 3 h 10 min 41 s

Is 11441 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).
3No (remainder 2)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 5)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 2)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 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 11441 a prime number?

No. 11441 = 17 × 673, so it is divisible by 17.

What are the factors of 11441?

1, 17, 673, 11441.

What is 11441 in binary?

10110010110001 (hexadecimal 2CB1, octal 26261).

What is the square root of 11441?

About 106.9626.

Is 11441 divisible by 3?

No. Its digits add up to 11, which is not a multiple of 3.

What is special about the number 11441?

11441 is a semiprime: 17 × 673, the product of two primes.

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