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The number 50497

50497 is the 5179th prime number. Its only divisors are 1 and 50497.

Number

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How to work it out

  1. 1

    What is special about 50497: the 5179th prime number.

  2. 2

    50497 is prime, so its only factors are 1 and 50497. It is the 5179th prime; the next prime is 50503 and the one before is 50461.

  3. 3

    The divisors add up to 50498; without 50497 itself that is 1, so 50497 is deficient (1 is less than 50497). Euler's totient φ(50497) = 50496 numbers up to 50497 share no factor with it.

  4. 4

    The digits of 50497 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.

50497 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors50498
Euler totient φ(n)50496
Square2549947009
Cube128764674113473
Square root224.715376
Digit sum / digital root25 / 7
Collatz steps to 196
Scientific notation5.0497 × 10410^{4}

50497 in other forms

FormValue
In wordsfifty thousand four hundred and ninety-seven
Binary (base 2)1100010101000001
Octal (base 8)142501
Hexadecimal (base 16)C541
Base 32120021021
As time50497 seconds = 14 h 1 min 37 s

Is 50497 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 2)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 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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)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 7)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 50497 a prime number?

Yes. 50497 is divisible only by 1 and itself.

What are the factors of 50497?

1, 50497.

What is 50497 in binary?

1100010101000001 (hexadecimal C541, octal 142501).

What is the square root of 50497?

About 224.7154.

Is 50497 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 50497?

50497 is the 5179th prime number.

All about 50497

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    50497: is it prime? Factors, square root, binary, Roman numeral | WordGPT