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The number 54553

54553 is a composite number with 4 divisors. Its prime factorisation is 17 × 3209. Divisors (4): 1, 17, 3209, 54553.

Number

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How to work it out

  1. 1

    What is special about 54553: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 17 × 3209, the product of two primes.

  2. 2

    54553 is composite. Its prime factorisation is

    54553=17×320954553 = 17 \times 3209
  3. 3

    The divisors add up to 57780; without 54553 itself that is 3227, so 54553 is deficient (3227 is less than 54553). Euler's totient φ(54553) = 51328 numbers up to 54553 share no factor with it.

  4. 4

    The digits of 54553 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.

LaTeX source of the formulas on this page
\[ 54553 = 17 \times 3209 \]

54553 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors57780
Euler totient φ(n)51328
Square2976029809
Cube162351354170377
Square root233.565837
Digit sum / digital root22 / 4
Collatz steps to 178
Scientific notation5.4553 × 10410^{4}

54553 in other forms

FormValue
In wordsfifty-four thousand five hundred and fifty-three
Binary (base 2)1101010100011001
Octal (base 8)152431
Hexadecimal (base 16)D519
Base 32202211111
As time54553 seconds = 15 h 9 min 13 s

Is 54553 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)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.
4No (remainder 1)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 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 2)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 1)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 3)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 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 54553 a prime number?

No. 54553 = 17 × 3209, so it is divisible by 17.

What are the factors of 54553?

1, 17, 3209, 54553.

What is 54553 in binary?

1101010100011001 (hexadecimal D519, octal 152431).

What is the square root of 54553?

About 233.5658.

Is 54553 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 54553?

54553 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 17 × 3209, the product of two primes.

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