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The number 55532

55532 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 13883. Divisors (6): 1, 2, 4, 13883, 27766, 55532.

Number

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How to work it out

  1. 1

    55532 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

    55532 is composite. Its prime factorisation is

    55532=22×1388355532 = 2^{2} \times 13883
  3. 3

    The divisors add up to 97188; without 55532 itself that is 41656, so 55532 is deficient (41656 is less than 55532). Euler's totient φ(55532) = 27764 numbers up to 55532 share no factor with it.

  4. 4

    The digits of 55532 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.

LaTeX source of the formulas on this page
\[ 55532 = 2^{2} \times 13883 \]

55532 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors97188
Euler totient φ(n)27764
Square3083803024
Cube171249749528768
Square root235.652286 (= 2√13883)
Digit sum / digital root20 / 2
Collatz steps to 1153
Scientific notation5.5532 × 10410^{4}

55532 in other forms

FormValue
In wordsfifty-five thousand five hundred and thirty-two
Binary (base 2)1101100011101100
Octal (base 8)154354
Hexadecimal (base 16)D8EC
Base 32211011202
As time55532 seconds = 15 h 25 min 32 s

Is 55532 divisible by 2 to 12?

DivisorAnswerRule
2Yes (55532 ÷ 2 = 27766)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 (55532 ÷ 4 = 13883)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 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 2)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 4)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 55532 a prime number?

No. 55532 = 222^{2} × 13883, so it is divisible by 2.

What are the factors of 55532?

1, 2, 4, 13883, 27766, 55532.

What is 55532 in binary?

1101100011101100 (hexadecimal D8EC, octal 154354).

What is the square root of 55532?

About 235.6523, exactly 2√13883.

Is 55532 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 55532?

It is a composite number with 6 divisors.

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    55532: is it prime? Factors, square root, binary, Roman numeral | WordGPT