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The number 49244

49244 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 13 × 947. Divisors (12): 1, 2, 4, 13, 26, 52, 947, 1894, 3788, 12311, 24622, 49244.

Number

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How to work it out

  1. 1

    What is special about 49244: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    49244 is composite. Its prime factorisation is

    49244=22×13×94749244 = 2^{2} \times 13 \times 947
  3. 3

    The divisors add up to 92904; without 49244 itself that is 43660, so 49244 is deficient (43660 is less than 49244). Euler's totient φ(49244) = 22704 numbers up to 49244 share no factor with it.

  4. 4

    The digits of 49244 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.

LaTeX source of the formulas on this page
\[ 49244 = 2^{2} \times 13 \times 947 \]

49244 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors92904
Euler totient φ(n)22704
Square2424971536
Cube119415298318784
Square root221.909892 (= 2√12311)
Digit sum / digital root23 / 5
Collatz steps to 1158
Scientific notation4.9244 × 10410^{4}

49244 in other forms

FormValue
In wordsforty-nine thousand two hundred and forty-four
Binary (base 2)1100000001011100
Octal (base 8)140134
Hexadecimal (base 16)C05C
Base 32111112212
As time49244 seconds = 13 h 40 min 44 s

Is 49244 divisible by 2 to 12?

DivisorAnswerRule
2Yes (49244 ÷ 2 = 24622)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.
4Yes (49244 ÷ 4 = 12311)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 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 6)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 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 4)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 49244 a prime number?

No. 49244 = 222^{2} × 13 × 947, so it is divisible by 2.

What are the factors of 49244?

1, 2, 4, 13, 26, 52, 947, 1894, 3788, 12311, 24622, 49244.

What is 49244 in binary?

1100000001011100 (hexadecimal C05C, octal 140134).

What is the square root of 49244?

About 221.9099, exactly 2√12311.

Is 49244 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 49244?

49244 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    49244: is it prime? Factors, square root, binary, Roman numeral | WordGPT