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The number 55472

55472 is a composite number with 10 divisors. Its prime factorisation is 242^{4} × 3467. Divisors (10): 1, 2, 4, 8, 16, 3467, 6934, 13868, 27736, 55472.

Number

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How to work it out

  1. 1

    55472 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

    55472 is composite. Its prime factorisation is

    55472=24×346755472 = 2^{4} \times 3467
  3. 3

    The divisors add up to 107508; without 55472 itself that is 52036, so 55472 is deficient (52036 is less than 55472). Euler's totient φ(55472) = 27728 numbers up to 55472 share no factor with it.

  4. 4

    The digits of 55472 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 153 steps to reach 1.

LaTeX source of the formulas on this page
\[ 55472 = 2^{4} \times 3467 \]

55472 at a glance

PropertyValue
Typecomposite
Number of divisors10
Sum of divisors107508
Euler totient φ(n)27728
Square3077142784
Cube170695264514048
Square root235.524946 (= 4√3467)
Digit sum / digital root23 / 5
Collatz steps to 1153
Scientific notation5.5472 × 10410^{4}

55472 in other forms

FormValue
In wordsfifty-five thousand four hundred and seventy-two
Binary (base 2)1101100010110000
Octal (base 8)154260
Hexadecimal (base 16)D8B0
Base 32211002112
As time55472 seconds = 15 h 24 min 32 s

Is 55472 divisible by 2 to 12?

DivisorAnswerRule
2Yes (55472 ÷ 2 = 27736)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 (55472 ÷ 4 = 13868)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)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.
8Yes (55472 ÷ 8 = 6934)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 2)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 55472 a prime number?

No. 55472 = 242^{4} × 3467, so it is divisible by 2.

What are the factors of 55472?

1, 2, 4, 8, 16, 3467, 6934, 13868, 27736, 55472.

What is 55472 in binary?

1101100010110000 (hexadecimal D8B0, octal 154260).

What is the square root of 55472?

About 235.5249, exactly 4√3467.

Is 55472 divisible by 3?

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

What is special about the number 55472?

It is a composite number with 10 divisors.

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    55472: is it prime? Factors, square root, binary, Roman numeral | WordGPT