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The number 50997

50997 is a composite number with 8 divisors. Its prime factorisation is 3 × 89 × 191. Divisors (8): 1, 3, 89, 191, 267, 573, 16999, 50997.

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How to work it out

  1. 1

    What is special about 50997: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    50997 is composite. Its prime factorisation is

    50997=3×89×19150997 = 3 \times 89 \times 191
  3. 3

    The divisors add up to 69120; without 50997 itself that is 18123, so 50997 is deficient (18123 is less than 50997). Euler's totient φ(50997) = 33440 numbers up to 50997 share no factor with it.

  4. 4

    The digits of 50997 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.

LaTeX source of the formulas on this page
\[ 50997 = 3 \times 89 \times 191 \]

50997 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors69120
Euler totient φ(n)33440
Square2600694009
Cube132627592376973
Square root225.825154
Digit sum / digital root30 / 3
Collatz steps to 1127
Scientific notation5.0997 × 10410^{4}

50997 in other forms

FormValue
In wordsfifty thousand nine hundred and ninety-seven
Binary (base 2)1100011100110101
Octal (base 8)143465
Hexadecimal (base 16)C735
Base 32120221210
As time50997 seconds = 14 h 9 min 57 s

Is 50997 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 (50997 ÷ 3 = 16999)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 2)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 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 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 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)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 50997 a prime number?

No. 50997 = 3 × 89 × 191, so it is divisible by 3.

What are the factors of 50997?

1, 3, 89, 191, 267, 573, 16999, 50997.

What is 50997 in binary?

1100011100110101 (hexadecimal C735, octal 143465).

What is the square root of 50997?

About 225.8252.

Is 50997 divisible by 3?

Yes. Its digits add up to 30, a multiple of 3.

What is special about the number 50997?

50997 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    50997: is it prime? Factors, square root, binary, Roman numeral | WordGPT