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The number 48388

48388 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 12097. Divisors (6): 1, 2, 4, 12097, 24194, 48388.

Number

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How to work it out

  1. 1

    48388 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

    48388 is composite. Its prime factorisation is

    48388=22×1209748388 = 2^{2} \times 12097
  3. 3

    The divisors add up to 84686; without 48388 itself that is 36298, so 48388 is deficient (36298 is less than 48388). Euler's totient φ(48388) = 24192 numbers up to 48388 share no factor with it.

  4. 4

    The digits of 48388 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.

LaTeX source of the formulas on this page
\[ 48388 = 2^{2} \times 12097 \]

48388 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors84686
Euler totient φ(n)24192
Square2341398544
Cube113295592747072
Square root219.972726 (= 2√12097)
Digit sum / digital root31 / 4
Collatz steps to 170
Scientific notation4.8388 × 10410^{4}

48388 in other forms

FormValue
In wordsforty-eight thousand three hundred and eighty-eight
Binary (base 2)1011110100000100
Octal (base 8)136404
Hexadecimal (base 16)BD04
Base 32110101011
As time48388 seconds = 13 h 26 min 28 s

Is 48388 divisible by 2 to 12?

DivisorAnswerRule
2Yes (48388 ÷ 2 = 24194)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 (48388 ÷ 4 = 12097)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)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 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 4)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 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 10)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 48388 a prime number?

No. 48388 = 222^{2} × 12097, so it is divisible by 2.

What are the factors of 48388?

1, 2, 4, 12097, 24194, 48388.

What is 48388 in binary?

1011110100000100 (hexadecimal BD04, octal 136404).

What is the square root of 48388?

About 219.9727, exactly 2√12097.

Is 48388 divisible by 3?

No. Its digits add up to 31, which is not a multiple of 3.

What is special about the number 48388?

It is a composite number with 6 divisors.

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    48388: is it prime? Factors, square root, binary, Roman numeral | WordGPT