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The number 48196

48196 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 12049. Divisors (6): 1, 2, 4, 12049, 24098, 48196.

Number

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How to work it out

  1. 1

    48196 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    48196 is composite. Its prime factorisation is

    48196=22×1204948196 = 2^{2} \times 12049
  3. 3

    The divisors add up to 84350; without 48196 itself that is 36154, so 48196 is deficient (36154 is less than 48196). Euler's totient φ(48196) = 24096 numbers up to 48196 share no factor with it.

  4. 4

    The digits of 48196 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.

LaTeX source of the formulas on this page
\[ 48196 = 2^{2} \times 12049 \]

48196 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors84350
Euler totient φ(n)24096
Square2322854416
Cube111952291433536
Square root219.535874 (= 2√12049)
Digit sum / digital root28 / 1
Collatz steps to 144
Scientific notation4.8196 × 10410^{4}

48196 in other forms

FormValue
In wordsforty-eight thousand one hundred and ninety-six
Binary (base 2)1011110001000100
Octal (base 8)136104
Hexadecimal (base 16)BC44
Base 32110010001
As time48196 seconds = 13 h 23 min 16 s

Is 48196 divisible by 2 to 12?

DivisorAnswerRule
2Yes (48196 ÷ 2 = 24098)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.
4Yes (48196 ÷ 4 = 12049)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 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 1)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 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 6)A number is divisible by 10 if the last digit is 0.
11No (remainder 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 48196 a prime number?

No. 48196 = 222^{2} × 12049, so it is divisible by 2.

What are the factors of 48196?

1, 2, 4, 12049, 24098, 48196.

What is 48196 in binary?

1011110001000100 (hexadecimal BC44, octal 136104).

What is the square root of 48196?

About 219.5359, exactly 2√12049.

Is 48196 divisible by 3?

No. Its digits add up to 28, which is not a multiple of 3.

What is special about the number 48196?

It is a composite number with 6 divisors.

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