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The number 54388

54388 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 13597. Divisors (6): 1, 2, 4, 13597, 27194, 54388.

Number

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How to work it out

  1. 1

    54388 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

    54388 is composite. Its prime factorisation is

    54388=22×1359754388 = 2^{2} \times 13597
  3. 3

    The divisors add up to 95186; without 54388 itself that is 40798, so 54388 is deficient (40798 is less than 54388). Euler's totient φ(54388) = 27192 numbers up to 54388 share no factor with it.

  4. 4

    The digits of 54388 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 122 steps to reach 1.

LaTeX source of the formulas on this page
\[ 54388 = 2^{2} \times 13597 \]

54388 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors95186
Euler totient φ(n)27192
Square2958054544
Cube160882670539072
Square root233.212350 (= 2√13597)
Digit sum / digital root28 / 1
Collatz steps to 1122
Scientific notation5.4388 × 10410^{4}

54388 in other forms

FormValue
In wordsfifty-four thousand three hundred and eighty-eight
Binary (base 2)1101010001110100
Octal (base 8)152164
Hexadecimal (base 16)D474
Base 32202121101
As time54388 seconds = 15 h 6 min 28 s

Is 54388 divisible by 2 to 12?

DivisorAnswerRule
2Yes (54388 ÷ 2 = 27194)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 (54388 ÷ 4 = 13597)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 5)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 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 4)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 54388 a prime number?

No. 54388 = 222^{2} × 13597, so it is divisible by 2.

What are the factors of 54388?

1, 2, 4, 13597, 27194, 54388.

What is 54388 in binary?

1101010001110100 (hexadecimal D474, octal 152164).

What is the square root of 54388?

About 233.2123, exactly 2√13597.

Is 54388 divisible by 3?

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

What is special about the number 54388?

It is a composite number with 6 divisors.

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