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The number 54548

54548 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 13 × 1049. Divisors (12): 1, 2, 4, 13, 26, 52, 1049, 2098, 4196, 13637, 27274, 54548.

Number

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How to work it out

  1. 1

    What is special about 54548: a Harshad number: divisible by its digit sum 26.

  2. 2

    54548 is composite. Its prime factorisation is

    54548=22×13×104954548 = 2^{2} \times 13 \times 1049
  3. 3

    The divisors add up to 102900; without 54548 itself that is 48352, so 54548 is deficient (48352 is less than 54548). Euler's totient φ(54548) = 25152 numbers up to 54548 share no factor with it.

  4. 4

    The digits of 54548 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.

LaTeX source of the formulas on this page
\[ 54548 = 2^{2} \times 13 \times 1049 \]

54548 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors102900
Euler totient φ(n)25152
Square2975484304
Cube162306717814592
Square root233.555133 (= 2√13637)
Digit sum / digital root26 / 8
Collatz steps to 1140
Scientific notation5.4548 × 10410^{4}

54548 in other forms

FormValue
In wordsfifty-four thousand five hundred and forty-eight
Binary (base 2)1101010100010100
Octal (base 8)152424
Hexadecimal (base 16)D514
Base 32202211022
As time54548 seconds = 15 h 9 min 8 s

Is 54548 divisible by 2 to 12?

DivisorAnswerRule
2Yes (54548 ÷ 2 = 27274)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 (54548 ÷ 4 = 13637)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 2)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 8)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 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 54548 a prime number?

No. 54548 = 222^{2} × 13 × 1049, so it is divisible by 2.

What are the factors of 54548?

1, 2, 4, 13, 26, 52, 1049, 2098, 4196, 13637, 27274, 54548.

What is 54548 in binary?

1101010100010100 (hexadecimal D514, octal 152424).

What is the square root of 54548?

About 233.5551, exactly 2√13637.

Is 54548 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 54548?

54548 is a Harshad number: divisible by its digit sum 26.

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    54548: is it prime? Factors, square root, binary, Roman numeral | WordGPT