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The number 44149

44149 is a composite number with 12 divisors. Its prime factorisation is 727^{2} × 17 × 53. Divisors (12): 1, 7, 17, 49, 53, 119, 371, 833, 901, 2597, 6307, 44149.

Number

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How to work it out

  1. 1

    What is special about 44149: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    44149 is composite. Its prime factorisation is

    44149=72×17×5344149 = 7^{2} \times 17 \times 53
  3. 3

    The divisors add up to 55404; without 44149 itself that is 11255, so 44149 is deficient (11255 is less than 44149). Euler's totient φ(44149) = 34944 numbers up to 44149 share no factor with it.

  4. 4

    The digits of 44149 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.

LaTeX source of the formulas on this page
\[ 44149 = 7^{2} \times 17 \times 53 \]

44149 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors55404
Euler totient φ(n)34944
Square1949134201
Cube86052325839949
Square root210.116634 (= 7√901)
Digit sum / digital root22 / 4
Collatz steps to 1163
Scientific notation4.4149 × 10410^{4}

44149 in other forms

FormValue
In wordsforty-four thousand one hundred and forty-nine
Binary (base 2)1010110001110101
Octal (base 8)126165
Hexadecimal (base 16)AC75
Base 32020120011
As time44149 seconds = 12 h 15 min 49 s

Is 44149 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.
7Yes (44149 ÷ 7 = 6307)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)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 6)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 44149 a prime number?

No. 44149 = 727^{2} × 17 × 53, so it is divisible by 7.

What are the factors of 44149?

1, 7, 17, 49, 53, 119, 371, 833, 901, 2597, 6307, 44149.

What is 44149 in binary?

1010110001110101 (hexadecimal AC75, octal 126165).

What is the square root of 44149?

About 210.1166, exactly 7√901.

Is 44149 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 44149?

44149 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    44149: is it prime? Factors, square root, binary, Roman numeral | WordGPT