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The number 11449

11449 is a perfect square (107²). Its prime factorisation is 1072107^{2}. Divisors (3): 1, 107, 11449.

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How to work it out

  1. 1

    What is special about 11449: a perfect square (107²); the square of a prime (107²).

  2. 2

    11449 is composite. Its prime factorisation is

    11449=107211449 = 107^{2}
  3. 3

    The divisors add up to 11557; without 11449 itself that is 108, so 11449 is deficient (108 is less than 11449). Euler's totient φ(11449) = 11342 numbers up to 11449 share no factor with it.

  4. 4

    The digits of 11449 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.

LaTeX source of the formulas on this page
\[ 11449 = 107^{2} \]

11449 at a glance

PropertyValue
Typecomposite
Number of divisors3
Sum of divisors11557
Euler totient φ(n)11342
Square131079601
Cube1500730351849
Square root107
Digit sum / digital root19 / 1
Collatz steps to 1130
Scientific notation1.1449 × 10410^{4}
Perfect power1072107^{2}

11449 in other forms

FormValue
In wordseleven thousand four hundred and forty-nine
Binary (base 2)10110010111001
Octal (base 8)26271
Hexadecimal (base 16)2CB9
Base 3120201001
As time11449 seconds = 3 h 10 min 49 s

Is 11449 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 1)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 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)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 9)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 11449 a prime number?

No. 11449 = 1072107^{2}, so it is divisible by 107.

What are the factors of 11449?

1, 107, 11449.

What is 11449 in binary?

10110010111001 (hexadecimal 2CB9, octal 26271).

What is the square root of 11449?

107, because 107 × 107 = 11449.

Is 11449 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 11449?

11449 is a perfect square (107²); the square of a prime (107²).

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    11449: is it prime? Factors, square root, binary, Roman numeral | WordGPT