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The number 55173

55173 is a composite number with 8 divisors. Its prime factorisation is 3 × 53 × 347. Divisors (8): 1, 3, 53, 159, 347, 1041, 18391, 55173.

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How to work it out

  1. 1

    What is special about 55173: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    55173 is composite. Its prime factorisation is

    55173=3×53×34755173 = 3 \times 53 \times 347
  3. 3

    The divisors add up to 75168; without 55173 itself that is 19995, so 55173 is deficient (19995 is less than 55173). Euler's totient φ(55173) = 35984 numbers up to 55173 share no factor with it.

  4. 4

    The digits of 55173 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.

LaTeX source of the formulas on this page
\[ 55173 = 3 \times 53 \times 347 \]

55173 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors75168
Euler totient φ(n)35984
Square3044059929
Cube167949918462717
Square root234.889336
Digit sum / digital root21 / 3
Collatz steps to 1153
Scientific notation5.5173 × 10410^{4}

55173 in other forms

FormValue
In wordsfifty-five thousand one hundred and seventy-three
Binary (base 2)1101011110000101
Octal (base 8)153605
Hexadecimal (base 16)D785
Base 32210200110
As time55173 seconds = 15 h 19 min 33 s

Is 55173 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).
3Yes (55173 ÷ 3 = 18391)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 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 6)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 3)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 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 55173 a prime number?

No. 55173 = 3 × 53 × 347, so it is divisible by 3.

What are the factors of 55173?

1, 3, 53, 159, 347, 1041, 18391, 55173.

What is 55173 in binary?

1101011110000101 (hexadecimal D785, octal 153605).

What is the square root of 55173?

About 234.8893.

Is 55173 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 55173?

55173 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    55173: is it prime? Factors, square root, binary, Roman numeral | WordGPT