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The number 55973

55973 is a composite number with 4 divisors. Its prime factorisation is 223 × 251. Divisors (4): 1, 223, 251, 55973.

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How to work it out

  1. 1

    What is special about 55973: a semiprime: 223 × 251, the product of two primes.

  2. 2

    55973 is composite. Its prime factorisation is

    55973=223×25155973 = 223 \times 251
  3. 3

    The divisors add up to 56448; without 55973 itself that is 475, so 55973 is deficient (475 is less than 55973). Euler's totient φ(55973) = 55500 numbers up to 55973 share no factor with it.

  4. 4

    The digits of 55973 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.

LaTeX source of the formulas on this page
\[ 55973 = 223 \times 251 \]

55973 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors56448
Euler totient φ(n)55500
Square3132976729
Cube175362106452317
Square root236.586137
Digit sum / digital root29 / 2
Collatz steps to 191
Scientific notation5.5973 × 10410^{4}

55973 in other forms

FormValue
In wordsfifty-five thousand nine hundred and seventy-three
Binary (base 2)1101101010100101
Octal (base 8)155245
Hexadecimal (base 16)DAA5
Base 32211210002
As time55973 seconds = 15 h 32 min 53 s

Is 55973 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 2)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 5)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 5)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 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 55973 a prime number?

No. 55973 = 223 × 251, so it is divisible by 223.

What are the factors of 55973?

1, 223, 251, 55973.

What is 55973 in binary?

1101101010100101 (hexadecimal DAA5, octal 155245).

What is the square root of 55973?

About 236.5861.

Is 55973 divisible by 3?

No. Its digits add up to 29, which is not a multiple of 3.

What is special about the number 55973?

55973 is a semiprime: 223 × 251, the product of two primes.

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